x(2x-2)+x(2x-4)=(4x+9)(x-3)

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Solution for x(2x-2)+x(2x-4)=(4x+9)(x-3) equation: 


Simplifying
x(2x + -2) + x(2x + -4) = (4x + 9)(x + -3)

Reorder the terms:
x(-2 + 2x) + x(2x + -4) = (4x + 9)(x + -3)
(-2 * x + 2x * x) + x(2x + -4) = (4x + 9)(x + -3)
(-2x + 2x2) + x(2x + -4) = (4x + 9)(x + -3)

Reorder the terms:
-2x + 2x2 + x(-4 + 2x) = (4x + 9)(x + -3)
-2x + 2x2 + (-4 * x + 2x * x) = (4x + 9)(x + -3)
-2x + 2x2 + (-4x + 2x2) = (4x + 9)(x + -3)

Reorder the terms:
-2x + -4x + 2x2 + 2x2 = (4x + 9)(x + -3)

Combine like terms: -2x + -4x = -6x
-6x + 2x2 + 2x2 = (4x + 9)(x + -3)

Combine like terms: 2x2 + 2x2 = 4x2
-6x + 4x2 = (4x + 9)(x + -3)

Reorder the terms:
-6x + 4x2 = (9 + 4x)(x + -3)

Reorder the terms:
-6x + 4x2 = (9 + 4x)(-3 + x)

Multiply (9 + 4x) * (-3 + x)
-6x + 4x2 = (9(-3 + x) + 4x * (-3 + x))
-6x + 4x2 = ((-3 * 9 + x * 9) + 4x * (-3 + x))
-6x + 4x2 = ((-27 + 9x) + 4x * (-3 + x))
-6x + 4x2 = (-27 + 9x + (-3 * 4x + x * 4x))
-6x + 4x2 = (-27 + 9x + (-12x + 4x2))

Combine like terms: 9x + -12x = -3x
-6x + 4x2 = (-27 + -3x + 4x2)

Add '-4x2' to each side of the equation.
-6x + 4x2 + -4x2 = -27 + -3x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6x + 0 = -27 + -3x + 4x2 + -4x2
-6x = -27 + -3x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6x = -27 + -3x + 0
-6x = -27 + -3x

Solving
-6x = -27 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-6x + 3x = -27 + -3x + 3x

Combine like terms: -6x + 3x = -3x
-3x = -27 + -3x + 3x

Combine like terms: -3x + 3x = 0
-3x = -27 + 0
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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