2x^2-164=(2x-4)(x-4)

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Solution for 2x^2-164=(2x-4)(x-4) equation:


Simplifying
2x2 + -164 = (2x + -4)(x + -4)

Reorder the terms:
-164 + 2x2 = (2x + -4)(x + -4)

Reorder the terms:
-164 + 2x2 = (-4 + 2x)(x + -4)

Reorder the terms:
-164 + 2x2 = (-4 + 2x)(-4 + x)

Multiply (-4 + 2x) * (-4 + x)
-164 + 2x2 = (-4(-4 + x) + 2x * (-4 + x))
-164 + 2x2 = ((-4 * -4 + x * -4) + 2x * (-4 + x))
-164 + 2x2 = ((16 + -4x) + 2x * (-4 + x))
-164 + 2x2 = (16 + -4x + (-4 * 2x + x * 2x))
-164 + 2x2 = (16 + -4x + (-8x + 2x2))

Combine like terms: -4x + -8x = -12x
-164 + 2x2 = (16 + -12x + 2x2)

Add '-2x2' to each side of the equation.
-164 + 2x2 + -2x2 = 16 + -12x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-164 + 0 = 16 + -12x + 2x2 + -2x2
-164 = 16 + -12x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-164 = 16 + -12x + 0
-164 = 16 + -12x

Solving
-164 = 16 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-164 + 12x = 16 + -12x + 12x

Combine like terms: -12x + 12x = 0
-164 + 12x = 16 + 0
-164 + 12x = 16

Add '164' to each side of the equation.
-164 + 164 + 12x = 16 + 164

Combine like terms: -164 + 164 = 0
0 + 12x = 16 + 164
12x = 16 + 164

Combine like terms: 16 + 164 = 180
12x = 180

Divide each side by '12'.
x = 15

Simplifying
x = 15

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