4x^2-2(2+x+2x)=8-x+2x^2

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Solution for 4x^2-2(2+x+2x)=8-x+2x^2 equation: 


Simplifying
4x2 + -2(2 + x + 2x) = 8 + -1x + 2x2

Combine like terms: x + 2x = 3x
4x2 + -2(2 + 3x) = 8 + -1x + 2x2
4x2 + (2 * -2 + 3x * -2) = 8 + -1x + 2x2
4x2 + (-4 + -6x) = 8 + -1x + 2x2

Reorder the terms:
-4 + -6x + 4x2 = 8 + -1x + 2x2

Solving
-4 + -6x + 4x2 = 8 + -1x + 2x2

Solving for variable 'x'.

Reorder the terms:
-4 + -8 + -6x + x + 4x2 + -2x2 = 8 + -1x + 2x2 + -8 + x + -2x2

Combine like terms: -4 + -8 = -12
-12 + -6x + x + 4x2 + -2x2 = 8 + -1x + 2x2 + -8 + x + -2x2

Combine like terms: -6x + x = -5x
-12 + -5x + 4x2 + -2x2 = 8 + -1x + 2x2 + -8 + x + -2x2

Combine like terms: 4x2 + -2x2 = 2x2
-12 + -5x + 2x2 = 8 + -1x + 2x2 + -8 + x + -2x2

Reorder the terms:
-12 + -5x + 2x2 = 8 + -8 + -1x + x + 2x2 + -2x2

Combine like terms: 8 + -8 = 0
-12 + -5x + 2x2 = 0 + -1x + x + 2x2 + -2x2
-12 + -5x + 2x2 = -1x + x + 2x2 + -2x2

Combine like terms: -1x + x = 0
-12 + -5x + 2x2 = 0 + 2x2 + -2x2
-12 + -5x + 2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-12 + -5x + 2x2 = 0

Factor a trinomial.
(-3 + -2x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 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 + -2x = 0 + 3

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

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

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 2
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
Solution
x = {-1.5, 4}

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