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

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


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

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

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

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

Multiply (7 + 9x) * (-2 + x)
-4x + 9x2 = (7(-2 + x) + 9x * (-2 + x))
-4x + 9x2 = ((-2 * 7 + x * 7) + 9x * (-2 + x))
-4x + 9x2 = ((-14 + 7x) + 9x * (-2 + x))
-4x + 9x2 = (-14 + 7x + (-2 * 9x + x * 9x))
-4x + 9x2 = (-14 + 7x + (-18x + 9x2))

Combine like terms: 7x + -18x = -11x
-4x + 9x2 = (-14 + -11x + 9x2)

Add '-9x2' to each side of the equation.
-4x + 9x2 + -9x2 = -14 + -11x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-4x + 0 = -14 + -11x + 9x2 + -9x2
-4x = -14 + -11x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-4x = -14 + -11x + 0
-4x = -14 + -11x

Solving
-4x = -14 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
-4x + 11x = -14 + -11x + 11x

Combine like terms: -4x + 11x = 7x
7x = -14 + -11x + 11x

Combine like terms: -11x + 11x = 0
7x = -14 + 0
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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