4x-(x^2-4)=2x-4

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Solution for 4x-(x^2-4)=2x-4 equation: 


Simplifying
4x + -1(x2 + -4) = 2x + -4

Reorder the terms:
4x + -1(-4 + x2) = 2x + -4
4x + (-4 * -1 + x2 * -1) = 2x + -4
4x + (4 + -1x2) = 2x + -4

Reorder the terms:
4 + 4x + -1x2 = 2x + -4

Reorder the terms:
4 + 4x + -1x2 = -4 + 2x

Solving
4 + 4x + -1x2 = -4 + 2x

Solving for variable 'x'.

Reorder the terms:
4 + 4 + 4x + -2x + -1x2 = -4 + 2x + 4 + -2x

Combine like terms: 4 + 4 = 8
8 + 4x + -2x + -1x2 = -4 + 2x + 4 + -2x

Combine like terms: 4x + -2x = 2x
8 + 2x + -1x2 = -4 + 2x + 4 + -2x

Reorder the terms:
8 + 2x + -1x2 = -4 + 4 + 2x + -2x

Combine like terms: -4 + 4 = 0
8 + 2x + -1x2 = 0 + 2x + -2x
8 + 2x + -1x2 = 2x + -2x

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

Factor a trinomial.
(4 + -1x)(2 + 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 '(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 = {4, -2}

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