Question

Solve for x: −4x − 4 = −4(x + 2)

A. 0
B. −4
C. All real numbers
D. No solution

Answer 1

`</p><p>-4x-4=-4(x+2) \\</p><p>-4x-4=-4x-8 \\</p><p>-4\\eq-8\Longrightarrow x\\otin\mathbb{R}</p><p>`

The answer is D. No solution because we got false equivalency.

Hope this helps.

r3t40

Answer 2

D

Explanation:

Given

- 4x - 4 = - 4(x + 2) ← distribute right side

- 4x - 4 = - 4x - 8 ( add 4 to both sides )

- 4x = - 4x - 4 ( add 4x to both sides )

0 = - 4 ← not possible

Hence the equation has no solution → D