x(2x-2)+x(4x-2)=(6x+8)(x-3)

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Solution for x(2x-2)+x(4x-2)=(6x+8)(x-3) equation:


Simplifying
x(2x + -2) + x(4x + -2) = (6x + 8)(x + -3)

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

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

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

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

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

Reorder the terms:
-4x + 6x2 = (8 + 6x)(x + -3)

Reorder the terms:
-4x + 6x2 = (8 + 6x)(-3 + x)

Multiply (8 + 6x) * (-3 + x)
-4x + 6x2 = (8(-3 + x) + 6x * (-3 + x))
-4x + 6x2 = ((-3 * 8 + x * 8) + 6x * (-3 + x))
-4x + 6x2 = ((-24 + 8x) + 6x * (-3 + x))
-4x + 6x2 = (-24 + 8x + (-3 * 6x + x * 6x))
-4x + 6x2 = (-24 + 8x + (-18x + 6x2))

Combine like terms: 8x + -18x = -10x
-4x + 6x2 = (-24 + -10x + 6x2)

Add '-6x2' to each side of the equation.
-4x + 6x2 + -6x2 = -24 + -10x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-4x + 0 = -24 + -10x + 6x2 + -6x2
-4x = -24 + -10x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-4x = -24 + -10x + 0
-4x = -24 + -10x

Solving
-4x = -24 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-4x + 10x = -24 + -10x + 10x

Combine like terms: -4x + 10x = 6x
6x = -24 + -10x + 10x

Combine like terms: -10x + 10x = 0
6x = -24 + 0
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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