(3x-2)(3x+2)=(3x-3)(3x+3)-6(4-x)+12x

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Solution for (3x-2)(3x+2)=(3x-3)(3x+3)-6(4-x)+12x equation:


Simplifying
(3x + -2)(3x + 2) = (3x + -3)(3x + 3) + -6(4 + -1x) + 12x

Reorder the terms:
(-2 + 3x)(3x + 2) = (3x + -3)(3x + 3) + -6(4 + -1x) + 12x

Reorder the terms:
(-2 + 3x)(2 + 3x) = (3x + -3)(3x + 3) + -6(4 + -1x) + 12x

Multiply (-2 + 3x) * (2 + 3x)
(-2(2 + 3x) + 3x * (2 + 3x)) = (3x + -3)(3x + 3) + -6(4 + -1x) + 12x
((2 * -2 + 3x * -2) + 3x * (2 + 3x)) = (3x + -3)(3x + 3) + -6(4 + -1x) + 12x
((-4 + -6x) + 3x * (2 + 3x)) = (3x + -3)(3x + 3) + -6(4 + -1x) + 12x
(-4 + -6x + (2 * 3x + 3x * 3x)) = (3x + -3)(3x + 3) + -6(4 + -1x) + 12x
(-4 + -6x + (6x + 9x2)) = (3x + -3)(3x + 3) + -6(4 + -1x) + 12x

Combine like terms: -6x + 6x = 0
(-4 + 0 + 9x2) = (3x + -3)(3x + 3) + -6(4 + -1x) + 12x
(-4 + 9x2) = (3x + -3)(3x + 3) + -6(4 + -1x) + 12x

Reorder the terms:
-4 + 9x2 = (-3 + 3x)(3x + 3) + -6(4 + -1x) + 12x

Reorder the terms:
-4 + 9x2 = (-3 + 3x)(3 + 3x) + -6(4 + -1x) + 12x

Multiply (-3 + 3x) * (3 + 3x)
-4 + 9x2 = (-3(3 + 3x) + 3x * (3 + 3x)) + -6(4 + -1x) + 12x
-4 + 9x2 = ((3 * -3 + 3x * -3) + 3x * (3 + 3x)) + -6(4 + -1x) + 12x
-4 + 9x2 = ((-9 + -9x) + 3x * (3 + 3x)) + -6(4 + -1x) + 12x
-4 + 9x2 = (-9 + -9x + (3 * 3x + 3x * 3x)) + -6(4 + -1x) + 12x
-4 + 9x2 = (-9 + -9x + (9x + 9x2)) + -6(4 + -1x) + 12x

Combine like terms: -9x + 9x = 0
-4 + 9x2 = (-9 + 0 + 9x2) + -6(4 + -1x) + 12x
-4 + 9x2 = (-9 + 9x2) + -6(4 + -1x) + 12x
-4 + 9x2 = -9 + 9x2 + (4 * -6 + -1x * -6) + 12x
-4 + 9x2 = -9 + 9x2 + (-24 + 6x) + 12x

Reorder the terms:
-4 + 9x2 = -9 + -24 + 6x + 12x + 9x2

Combine like terms: -9 + -24 = -33
-4 + 9x2 = -33 + 6x + 12x + 9x2

Combine like terms: 6x + 12x = 18x
-4 + 9x2 = -33 + 18x + 9x2

Add '-9x2' to each side of the equation.
-4 + 9x2 + -9x2 = -33 + 18x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-4 + 0 = -33 + 18x + 9x2 + -9x2
-4 = -33 + 18x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-4 = -33 + 18x + 0
-4 = -33 + 18x

Solving
-4 = -33 + 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.
-4 + -18x = -33 + 18x + -18x

Combine like terms: 18x + -18x = 0
-4 + -18x = -33 + 0
-4 + -18x = -33

Add '4' to each side of the equation.
-4 + 4 + -18x = -33 + 4

Combine like terms: -4 + 4 = 0
0 + -18x = -33 + 4
-18x = -33 + 4

Combine like terms: -33 + 4 = -29
-18x = -29

Divide each side by '-18'.
x = 1.611111111

Simplifying
x = 1.611111111

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