9x(x-6)-16=3x(2x+4)+3x(x-6)

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Solution for 9x(x-6)-16=3x(2x+4)+3x(x-6) equation: 


Simplifying
9x(x + -6) + -16 = 3x(2x + 4) + 3x(x + -6)

Reorder the terms:
9x(-6 + x) + -16 = 3x(2x + 4) + 3x(x + -6)
(-6 * 9x + x * 9x) + -16 = 3x(2x + 4) + 3x(x + -6)
(-54x + 9x2) + -16 = 3x(2x + 4) + 3x(x + -6)

Reorder the terms:
-16 + -54x + 9x2 = 3x(2x + 4) + 3x(x + -6)

Reorder the terms:
-16 + -54x + 9x2 = 3x(4 + 2x) + 3x(x + -6)
-16 + -54x + 9x2 = (4 * 3x + 2x * 3x) + 3x(x + -6)
-16 + -54x + 9x2 = (12x + 6x2) + 3x(x + -6)

Reorder the terms:
-16 + -54x + 9x2 = 12x + 6x2 + 3x(-6 + x)
-16 + -54x + 9x2 = 12x + 6x2 + (-6 * 3x + x * 3x)
-16 + -54x + 9x2 = 12x + 6x2 + (-18x + 3x2)

Reorder the terms:
-16 + -54x + 9x2 = 12x + -18x + 6x2 + 3x2

Combine like terms: 12x + -18x = -6x
-16 + -54x + 9x2 = -6x + 6x2 + 3x2

Combine like terms: 6x2 + 3x2 = 9x2
-16 + -54x + 9x2 = -6x + 9x2

Add '-9x2' to each side of the equation.
-16 + -54x + 9x2 + -9x2 = -6x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-16 + -54x + 0 = -6x + 9x2 + -9x2
-16 + -54x = -6x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-16 + -54x = -6x + 0
-16 + -54x = -6x

Solving
-16 + -54x = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-16 + -54x + 6x = -6x + 6x

Combine like terms: -54x + 6x = -48x
-16 + -48x = -6x + 6x

Combine like terms: -6x + 6x = 0
-16 + -48x = 0

Add '16' to each side of the equation.
-16 + 16 + -48x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -48x = 0 + 16
-48x = 0 + 16

Combine like terms: 0 + 16 = 16
-48x = 16

Divide each side by '-48'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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