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asambeis [7]
3 years ago
6

6(3X +5 ) = 7(2x +2)

Mathematics
2 answers:
boyakko [2]3 years ago
5 0

Answer:

X=-4 last answer i got i hope it is helpful have a nice day

Step-by-step explanation:

Let's solve your equation step-by-step.

6(3x+5)=7(2x+2)

Step 1: Simplify both sides of the equation.

6(3x+5)=7(2x+2)

(6)(3x)+(6)(5)=(7)(2x)+(7)(2)(Distribute)

18x+30=14x+14

Step 2: Subtract 14x from both sides.

18x+30−14x=14x+14−14x

4x+30=14

Step 3: Subtract 30 from both sides.

4x+30−30=14−30

4x=−16

Step 4: Divide both sides by 4.

4x

4

=

−16

4

x=−4

Answer:

x=−4

Lady_Fox [76]3 years ago
5 0

Answer:

x = -4

Step-by-step explanation:

6(3x + 5) = 7(2x + 2)

18x + 30 = 14x + 14

i.e distributing;

18x - 14x = 14 - 30

4x = - 16

hence x = -4.

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Answer:  
_______________________________________________________
The rewritten equation is: 
 

       " - 3x² + 30 + 225 = 0 " ; 

which is ultimately simplified to:

        " x² − 10 − 75  = 0 " .
___________________________________________________
The number of days is:  "15 days" . 
___________________________________________________<span>

Explanation:
______________________________________________
Given:

    h(x) = - 3x</span>² <span>+ 30 + 225  ;  

Rewrite as:  "  </span>- 3x² + 30 + 225 = 0 " ; 
__________________________________________________________
Multiply EACH SIDE of the equation by "-1" ; to get rid of the "-3" ; 

  -1 * {- 3x² + 30 + 225 = 0} ; 

to get:  " 3x² − 30 <span>− 225 = 0" ; 

Divide EACH SIDE of the equation by "3" ; to simplify; since:

"3", "30", and "225" are divisible by "3" ; 

{</span>3x² − 30 − 225} / 3 = 0 / 3 ; 

 to get: 
______________________________________
 " x² − 10 − 75  = 0 " ; 
 
______________________________________
 Let us factor:

-15 + 5 = -10 ; 

-15 * 5 = -75 ; 
_______________________________________
Rewrite as:

(x − 15) (x + 5) =  0 ;

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_______________________________________
The number of days cannot be "negative value";  so we stick with:

"x = 15 days" 
___________________________________________________
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which is ultimately simplified to:

        " x² − 10 − 75  = 0 " .
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The number of days is:  "15 days" . 
___________________________________________________
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