x(8x-9)=(8x+6)(x-3)

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Solution for x(8x-9)=(8x+6)(x-3) equation:


Simplifying
x(8x + -9) = (8x + 6)(x + -3)

Reorder the terms:
x(-9 + 8x) = (8x + 6)(x + -3)
(-9 * x + 8x * x) = (8x + 6)(x + -3)
(-9x + 8x2) = (8x + 6)(x + -3)

Reorder the terms:
-9x + 8x2 = (6 + 8x)(x + -3)

Reorder the terms:
-9x + 8x2 = (6 + 8x)(-3 + x)

Multiply (6 + 8x) * (-3 + x)
-9x + 8x2 = (6(-3 + x) + 8x * (-3 + x))
-9x + 8x2 = ((-3 * 6 + x * 6) + 8x * (-3 + x))
-9x + 8x2 = ((-18 + 6x) + 8x * (-3 + x))
-9x + 8x2 = (-18 + 6x + (-3 * 8x + x * 8x))
-9x + 8x2 = (-18 + 6x + (-24x + 8x2))

Combine like terms: 6x + -24x = -18x
-9x + 8x2 = (-18 + -18x + 8x2)

Add '-8x2' to each side of the equation.
-9x + 8x2 + -8x2 = -18 + -18x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-9x + 0 = -18 + -18x + 8x2 + -8x2
-9x = -18 + -18x + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-9x = -18 + -18x + 0
-9x = -18 + -18x

Solving
-9x = -18 + -18x

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x = -2

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