3(x+2)^2-47=-44 — step-by-step solution

Let's solve in

ℝ

3 \cdot {(x + 2)}^{2} - 47 = -44

ⓘ We add

47

to both sides

3 \cdot {(x + 2)}^{2} = 3

ⓘ Both sides are divided by

3

{(x + 2)}^{2} = 1

ⓘ The two numbers whose square is

1

are

-1

and

1

x + 2 = -1

ⓘ We subtract

2

from both sides

Solution found:

x = -3

x + 2 = 1

ⓘ We subtract

2

from both sides

Solution obtained:

x = -1

▶Solution:

x = {-3, -1}