(x+3)2=(x+3)(x-2)

Solution for (x+3)2=(x+3)(x-2) equation:

Simplifying
(x + 3) * 2 = (x + 3)(x + -2)

Reorder the terms:
(3 + x) * 2 = (x + 3)(x + -2)

Reorder the terms for easier multiplication:
2(3 + x) = (x + 3)(x + -2)
(3 * 2 + x * 2) = (x + 3)(x + -2)
(6 + 2x) = (x + 3)(x + -2)

Reorder the terms:
6 + 2x = (3 + x)(x + -2)

Reorder the terms:
6 + 2x = (3 + x)(-2 + x)

Multiply (3 + x) * (-2 + x)
6 + 2x = (3(-2 + x) + x(-2 + x))
6 + 2x = ((-2 * 3 + x * 3) + x(-2 + x))
6 + 2x = ((-6 + 3x) + x(-2 + x))
6 + 2x = (-6 + 3x + (-2 * x + x * x))
6 + 2x = (-6 + 3x + (-2x + x2))

Combine like terms: 3x + -2x = 1x
6 + 2x = (-6 + 1x + x2)

Solving
6 + 2x = -6 + 1x + x2

Solving for variable 'x'.

Reorder the terms:
6 + 6 + 2x + -1x + -1x2 = -6 + 1x + x2 + 6 + -1x + -1x2

Combine like terms: 6 + 6 = 12
12 + 2x + -1x + -1x2 = -6 + 1x + x2 + 6 + -1x + -1x2

Combine like terms: 2x + -1x = 1x
12 + 1x + -1x2 = -6 + 1x + x2 + 6 + -1x + -1x2

Reorder the terms:
12 + 1x + -1x2 = -6 + 6 + 1x + -1x + x2 + -1x2

Combine like terms: -6 + 6 = 0
12 + 1x + -1x2 = 0 + 1x + -1x + x2 + -1x2
12 + 1x + -1x2 = 1x + -1x + x2 + -1x2

Combine like terms: 1x + -1x = 0
12 + 1x + -1x2 = 0 + x2 + -1x2
12 + 1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + 1x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(3 + x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {4, -3}