3(x+2)(2x-1)-6=-9x+6x^2

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Solution for 3(x+2)(2x-1)-6=-9x+6x^2 equation: 


Simplifying
3(x + 2)(2x + -1) + -6 = -9x + 6x2

Reorder the terms:
3(2 + x)(2x + -1) + -6 = -9x + 6x2

Reorder the terms:
3(2 + x)(-1 + 2x) + -6 = -9x + 6x2

Multiply (2 + x) * (-1 + 2x)
3(2(-1 + 2x) + x(-1 + 2x)) + -6 = -9x + 6x2
3((-1 * 2 + 2x * 2) + x(-1 + 2x)) + -6 = -9x + 6x2
3((-2 + 4x) + x(-1 + 2x)) + -6 = -9x + 6x2
3(-2 + 4x + (-1 * x + 2x * x)) + -6 = -9x + 6x2
3(-2 + 4x + (-1x + 2x2)) + -6 = -9x + 6x2

Combine like terms: 4x + -1x = 3x
3(-2 + 3x + 2x2) + -6 = -9x + 6x2
(-2 * 3 + 3x * 3 + 2x2 * 3) + -6 = -9x + 6x2
(-6 + 9x + 6x2) + -6 = -9x + 6x2

Reorder the terms:
-6 + -6 + 9x + 6x2 = -9x + 6x2

Combine like terms: -6 + -6 = -12
-12 + 9x + 6x2 = -9x + 6x2

Add '-6x2' to each side of the equation.
-12 + 9x + 6x2 + -6x2 = -9x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-12 + 9x + 0 = -9x + 6x2 + -6x2
-12 + 9x = -9x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-12 + 9x = -9x + 0
-12 + 9x = -9x

Solving
-12 + 9x = -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.
-12 + 9x + 9x = -9x + 9x

Combine like terms: 9x + 9x = 18x
-12 + 18x = -9x + 9x

Combine like terms: -9x + 9x = 0
-12 + 18x = 0

Add '12' to each side of the equation.
-12 + 12 + 18x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 18x = 0 + 12
18x = 0 + 12

Combine like terms: 0 + 12 = 12
18x = 12

Divide each side by '18'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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