3(x+2)(x+2)=2x^2+3x-8

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Solution for 3(x+2)(x+2)=2x^2+3x-8 equation: 


Simplifying
3(x + 2)(x + 2) = 2x2 + 3x + -8

Reorder the terms:
3(2 + x)(x + 2) = 2x2 + 3x + -8

Reorder the terms:
3(2 + x)(2 + x) = 2x2 + 3x + -8

Multiply (2 + x) * (2 + x)
3(2(2 + x) + x(2 + x)) = 2x2 + 3x + -8
3((2 * 2 + x * 2) + x(2 + x)) = 2x2 + 3x + -8
3((4 + 2x) + x(2 + x)) = 2x2 + 3x + -8
3(4 + 2x + (2 * x + x * x)) = 2x2 + 3x + -8
3(4 + 2x + (2x + x2)) = 2x2 + 3x + -8

Combine like terms: 2x + 2x = 4x
3(4 + 4x + x2) = 2x2 + 3x + -8
(4 * 3 + 4x * 3 + x2 * 3) = 2x2 + 3x + -8
(12 + 12x + 3x2) = 2x2 + 3x + -8

Reorder the terms:
12 + 12x + 3x2 = -8 + 3x + 2x2

Solving
12 + 12x + 3x2 = -8 + 3x + 2x2

Solving for variable 'x'.

Reorder the terms:
12 + 8 + 12x + -3x + 3x2 + -2x2 = -8 + 3x + 2x2 + 8 + -3x + -2x2

Combine like terms: 12 + 8 = 20
20 + 12x + -3x + 3x2 + -2x2 = -8 + 3x + 2x2 + 8 + -3x + -2x2

Combine like terms: 12x + -3x = 9x
20 + 9x + 3x2 + -2x2 = -8 + 3x + 2x2 + 8 + -3x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
20 + 9x + 1x2 = -8 + 3x + 2x2 + 8 + -3x + -2x2

Reorder the terms:
20 + 9x + 1x2 = -8 + 8 + 3x + -3x + 2x2 + -2x2

Combine like terms: -8 + 8 = 0
20 + 9x + 1x2 = 0 + 3x + -3x + 2x2 + -2x2
20 + 9x + 1x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
20 + 9x + 1x2 = 0 + 2x2 + -2x2
20 + 9x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
20 + 9x + 1x2 = 0

Factor a trinomial.
(5 + x)(4 + x) = 0


Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5

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

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {-5, -4}

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