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3 years ago

What is the value of x? x + 5 = - 6x - 16

Mathematics

2 answers:

laiz [17]3 years ago

8 0

Get all the x's on one side and everything else on the other side
x + 6x = -16 - 5
7x = -21
then divide by 7
x = -3

exis [7]3 years ago

4 0

X +5 = -6x - 16
add 16 to both sides
x+21 = -6x
add 6x to both sides
7x+21=0
factor out the seven
7(x+3)=0

if 7 times (x+3) = 0 then (x+3) must equal zero because 7 times 0 is 0

so x+3=0
subtract three from both sides
x= -3

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3 years ago

Solve by completing the square

Sveta_85 [38]

$\qquad\qquad\huge\underline{{\sf Answer}}☂$

Let's solve ~

$\qquad \sf \dashrightarrow \: {x}^{2} + 8x = 33$

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Hence, there are two solutions ~

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2 years ago

What are the solutions of the equation (x-3)2 + 2(x – 3) - 8= 0? Use u substitution to solve.

astraxan [27]

Answer:

x = - 1 and x = 5

Step-by-step explanation:

Given

(x - 3)² + 2(x - 3) - 8 = 0

Let u = x - 3, then

u² + 2u - 8 = 0 ← solve for u

(u + 4)(u - 2) = 0 ← in factored form

Equate each factor to zero and solve for u

u + 4 = 0 ⇒ u = - 4

u - 2 = 0 ⇒ u = 2

Convert back to x, that is

x - 3 = - 4 ( add 3 to both sides ) ⇒ x = - 1

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