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Artyom0805 [142]

3 years ago

14

Simplify: 3(9 + 2d) + 4d

2 answers:

Inga [223]3 years ago

6 0

Answer:

27 + 10d

Step-by-step explanation:

PilotLPTM [1.2K]3 years ago

4 0

Answer:

10d+27

Step-by-step explanation:

Rearrange terms

3

(

9

+

2

)

+

4

3

(

2

+

9

)

+

4

2

Distribute

3

(

2

+

9

)

+

4

6

+

2

7

+

4

3

Combine like terms

6

+

2

7

+

4

1

0

+

2

7

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Read 2 more answers

Complete the equivalent equation for –7x – 60 = x2 + 10x.

natulia [17]

The equivalent equation is $(x+5)(x+12)=0$

The solution are $x=-5, x=-12$

Explanation:

Given that the equation is $-7 x-60=x^2+10 x$

Simplifying the equation, we get,

$0=x^2+10 x+7x+60$

Switch sides, we have,

$x^2+17 x+60=0$

<u>Equivalent equation:</u>

Let us factor the quadratic equation.

Thus, we have,

$x^{2} +5x+12x+60=0$

Grouping the terms, we get,

$x(x+5)+12(x+5)=0$

Factoring out (x+5), we get,

$(x+5)(x+12)=0$

Thus, the equivalent equation is $(x+5)(x+12)=0$

<u>Solution:</u>

Solving the equation $(x+5)(x+12)=0$ , we get,

$x+5=0$ and $x+12=0$

$x=-5$ and $x=-12$

Thus, the solutions are $x=-5$ and $x=-12$

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