4x+2x(2x-1)-128=8x-3(2x-4)+4

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Solution for 4x+2x(2x-1)-128=8x-3(2x-4)+4 equation: 


Simplifying
4x + 2x(2x + -1) + -128 = 8x + -3(2x + -4) + 4

Reorder the terms:
4x + 2x(-1 + 2x) + -128 = 8x + -3(2x + -4) + 4
4x + (-1 * 2x + 2x * 2x) + -128 = 8x + -3(2x + -4) + 4
4x + (-2x + 4x2) + -128 = 8x + -3(2x + -4) + 4

Reorder the terms:
-128 + 4x + -2x + 4x2 = 8x + -3(2x + -4) + 4

Combine like terms: 4x + -2x = 2x
-128 + 2x + 4x2 = 8x + -3(2x + -4) + 4

Reorder the terms:
-128 + 2x + 4x2 = 8x + -3(-4 + 2x) + 4
-128 + 2x + 4x2 = 8x + (-4 * -3 + 2x * -3) + 4
-128 + 2x + 4x2 = 8x + (12 + -6x) + 4

Reorder the terms:
-128 + 2x + 4x2 = 12 + 4 + 8x + -6x

Combine like terms: 12 + 4 = 16
-128 + 2x + 4x2 = 16 + 8x + -6x

Combine like terms: 8x + -6x = 2x
-128 + 2x + 4x2 = 16 + 2x

Add '-2x' to each side of the equation.
-128 + 2x + -2x + 4x2 = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-128 + 0 + 4x2 = 16 + 2x + -2x
-128 + 4x2 = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-128 + 4x2 = 16 + 0
-128 + 4x2 = 16

Solving
-128 + 4x2 = 16

Solving for variable 'x'.

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

Add '128' to each side of the equation.
-128 + 128 + 4x2 = 16 + 128

Combine like terms: -128 + 128 = 0
0 + 4x2 = 16 + 128
4x2 = 16 + 128

Combine like terms: 16 + 128 = 144
4x2 = 144

Divide each side by '4'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}

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