4x-2x(x-2)=-4+5x+2

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Solution for 4x-2x(x-2)=-4+5x+2 equation: 


Simplifying
4x + -2x(x + -2) = -4 + 5x + 2

Reorder the terms:
4x + -2x(-2 + x) = -4 + 5x + 2
4x + (-2 * -2x + x * -2x) = -4 + 5x + 2
4x + (4x + -2x2) = -4 + 5x + 2

Combine like terms: 4x + 4x = 8x
8x + -2x2 = -4 + 5x + 2

Reorder the terms:
8x + -2x2 = -4 + 2 + 5x

Combine like terms: -4 + 2 = -2
8x + -2x2 = -2 + 5x

Solving
8x + -2x2 = -2 + 5x

Solving for variable 'x'.

Reorder the terms:
2 + 8x + -5x + -2x2 = -2 + 5x + 2 + -5x

Combine like terms: 8x + -5x = 3x
2 + 3x + -2x2 = -2 + 5x + 2 + -5x

Reorder the terms:
2 + 3x + -2x2 = -2 + 2 + 5x + -5x

Combine like terms: -2 + 2 = 0
2 + 3x + -2x2 = 0 + 5x + -5x
2 + 3x + -2x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
2 + 3x + -2x2 = 0

Factor a trinomial.
(2 + -1x)(1 + 2x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {2, -0.5}

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