x(4x-6)=(4x+2)(x-4)

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Solution for x(4x-6)=(4x+2)(x-4) equation:


Simplifying
x(4x + -6) = (4x + 2)(x + -4)

Reorder the terms:
x(-6 + 4x) = (4x + 2)(x + -4)
(-6 * x + 4x * x) = (4x + 2)(x + -4)
(-6x + 4x2) = (4x + 2)(x + -4)

Reorder the terms:
-6x + 4x2 = (2 + 4x)(x + -4)

Reorder the terms:
-6x + 4x2 = (2 + 4x)(-4 + x)

Multiply (2 + 4x) * (-4 + x)
-6x + 4x2 = (2(-4 + x) + 4x * (-4 + x))
-6x + 4x2 = ((-4 * 2 + x * 2) + 4x * (-4 + x))
-6x + 4x2 = ((-8 + 2x) + 4x * (-4 + x))
-6x + 4x2 = (-8 + 2x + (-4 * 4x + x * 4x))
-6x + 4x2 = (-8 + 2x + (-16x + 4x2))

Combine like terms: 2x + -16x = -14x
-6x + 4x2 = (-8 + -14x + 4x2)

Add '-4x2' to each side of the equation.
-6x + 4x2 + -4x2 = -8 + -14x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6x + 0 = -8 + -14x + 4x2 + -4x2
-6x = -8 + -14x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6x = -8 + -14x + 0
-6x = -8 + -14x

Solving
-6x = -8 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-6x + 14x = -8 + -14x + 14x

Combine like terms: -6x + 14x = 8x
8x = -8 + -14x + 14x

Combine like terms: -14x + 14x = 0
8x = -8 + 0
8x = -8

Divide each side by '8'.
x = -1

Simplifying
x = -1

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