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

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


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

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

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

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

Multiply (9 + 3x) * (-4 + x)
-4x + 3x2 = (9(-4 + x) + 3x * (-4 + x))
-4x + 3x2 = ((-4 * 9 + x * 9) + 3x * (-4 + x))
-4x + 3x2 = ((-36 + 9x) + 3x * (-4 + x))
-4x + 3x2 = (-36 + 9x + (-4 * 3x + x * 3x))
-4x + 3x2 = (-36 + 9x + (-12x + 3x2))

Combine like terms: 9x + -12x = -3x
-4x + 3x2 = (-36 + -3x + 3x2)

Add '-3x2' to each side of the equation.
-4x + 3x2 + -3x2 = -36 + -3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-4x + 0 = -36 + -3x + 3x2 + -3x2
-4x = -36 + -3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-4x = -36 + -3x + 0
-4x = -36 + -3x

Solving
-4x = -36 + -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.
-4x + 3x = -36 + -3x + 3x

Combine like terms: -4x + 3x = -1x
-1x = -36 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1x = -36 + 0
-1x = -36

Divide each side by '-1'.
x = 36

Simplifying
x = 36

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