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

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


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

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

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

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

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

Reorder the terms:
-6 + 1x + x2 = 3 + x

Solving
-6 + 1x + x2 = 3 + x

Solving for variable 'x'.

Reorder the terms:
-6 + -3 + 1x + -1x + x2 = 3 + x + -3 + -1x

Combine like terms: -6 + -3 = -9
-9 + 1x + -1x + x2 = 3 + x + -3 + -1x

Combine like terms: 1x + -1x = 0
-9 + 0 + x2 = 3 + x + -3 + -1x
-9 + x2 = 3 + x + -3 + -1x

Reorder the terms:
-9 + x2 = 3 + -3 + x + -1x

Combine like terms: 3 + -3 = 0
-9 + x2 = 0 + x + -1x
-9 + x2 = x + -1x

Combine like terms: x + -1x = 0
-9 + x2 = 0

Factor a difference between two squares.
(3 + x)(-3 + x) = 0


Subproblem 1
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

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 = {-3, 3}

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