Question

Solve for x: -4|x + 5| = - 16

Answer 1

Hi there!

Solve for x: -4|x + 5| = - 16

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−4(|x + 5|)/−4 = −16/-4 (Divide Both Sides By 4)

|x + 5| = 4

|x + 5| = 4 (Solve Absolute Value)

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Either it's: x + 5 = 4 or x + 5 = −4

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x + 5 = 4 (Answer 1)

x + 5 − 5 = 4 − 5 (Subtract 5 from both sides of the equation)

x = −1

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x + 5 = −4 (Answer 2)

x + 5 − 5 = −4 − 5(Subtract 5 from both sides of the equation)

x = −9

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Answer: x = -1 or x = -9

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Hope This Helps :)

Answer 2

-4|x + 5| = - 16

divide by -4

|x + 5| = 4

x + 5 = 4 and x + 5 = -4

subtract 5 from each side

x = -1 and x = -9

Answer:x=-9, 1