-4|x|+10=-10 — step-by-step solution

Let's solve in

ℝ

- 4 \cdot | x | + 10 = -10

ⓘ We subtract

10

from both sides

- 4 \cdot | x | = - 10 - 10

ⓘ Start from

-10

and move back

10

more on the number line, away from zero:

- 10 - 10

-20

- 4 \cdot | x | = -20

Since

-4 \neq 0

, divide both sides by

-4

| x | = 5

Since

5 \geq 0

| x | = 5

is equivalent to

x = 5

x = -5

Solution obtained:

x = -5

▶Solution:

x = {-5, 5}