5x^2=4x^2-4x-4

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Solution for 5x^2=4x^2-4x-4 equation: 


Simplifying
5x2 = 4x2 + -4x + -4

Reorder the terms:
5x2 = -4 + -4x + 4x2

Solving
5x2 = -4 + -4x + 4x2

Solving for variable 'x'.

Reorder the terms:
4 + 4x + 5x2 + -4x2 = -4 + -4x + 4x2 + 4 + 4x + -4x2

Combine like terms: 5x2 + -4x2 = 1x2
4 + 4x + 1x2 = -4 + -4x + 4x2 + 4 + 4x + -4x2

Reorder the terms:
4 + 4x + 1x2 = -4 + 4 + -4x + 4x + 4x2 + -4x2

Combine like terms: -4 + 4 = 0
4 + 4x + 1x2 = 0 + -4x + 4x + 4x2 + -4x2
4 + 4x + 1x2 = -4x + 4x + 4x2 + -4x2

Combine like terms: -4x + 4x = 0
4 + 4x + 1x2 = 0 + 4x2 + -4x2
4 + 4x + 1x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
4 + 4x + 1x2 = 0

Factor a trinomial.
(2 + x)(2 + x) = 0


Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-2, -2}

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