x(2x-3)+x(7x-4)=(9x+9)(x-2)

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Solution for x(2x-3)+x(7x-4)=(9x+9)(x-2) equation: 


Simplifying
x(2x + -3) + x(7x + -4) = (9x + 9)(x + -2)

Reorder the terms:
x(-3 + 2x) + x(7x + -4) = (9x + 9)(x + -2)
(-3 * x + 2x * x) + x(7x + -4) = (9x + 9)(x + -2)
(-3x + 2x2) + x(7x + -4) = (9x + 9)(x + -2)

Reorder the terms:
-3x + 2x2 + x(-4 + 7x) = (9x + 9)(x + -2)
-3x + 2x2 + (-4 * x + 7x * x) = (9x + 9)(x + -2)
-3x + 2x2 + (-4x + 7x2) = (9x + 9)(x + -2)

Reorder the terms:
-3x + -4x + 2x2 + 7x2 = (9x + 9)(x + -2)

Combine like terms: -3x + -4x = -7x
-7x + 2x2 + 7x2 = (9x + 9)(x + -2)

Combine like terms: 2x2 + 7x2 = 9x2
-7x + 9x2 = (9x + 9)(x + -2)

Reorder the terms:
-7x + 9x2 = (9 + 9x)(x + -2)

Reorder the terms:
-7x + 9x2 = (9 + 9x)(-2 + x)

Multiply (9 + 9x) * (-2 + x)
-7x + 9x2 = (9(-2 + x) + 9x * (-2 + x))
-7x + 9x2 = ((-2 * 9 + x * 9) + 9x * (-2 + x))
-7x + 9x2 = ((-18 + 9x) + 9x * (-2 + x))
-7x + 9x2 = (-18 + 9x + (-2 * 9x + x * 9x))
-7x + 9x2 = (-18 + 9x + (-18x + 9x2))

Combine like terms: 9x + -18x = -9x
-7x + 9x2 = (-18 + -9x + 9x2)

Add '-9x2' to each side of the equation.
-7x + 9x2 + -9x2 = -18 + -9x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-7x + 0 = -18 + -9x + 9x2 + -9x2
-7x = -18 + -9x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-7x = -18 + -9x + 0
-7x = -18 + -9x

Solving
-7x = -18 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-7x + 9x = -18 + -9x + 9x

Combine like terms: -7x + 9x = 2x
2x = -18 + -9x + 9x

Combine like terms: -9x + 9x = 0
2x = -18 + 0
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9

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