3*(2*x-1)*(3*x-1)-(2*x-3)*(9*x-1)=0

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Solution for 3*(2*x-1)*(3*x-1)-(2*x-3)*(9*x-1)=0 equation: 


Simplifying
3(2x + -1)(3x + -1) + -1(2x + -3)(9x + -1) = 0

Reorder the terms:
3(-1 + 2x)(3x + -1) + -1(2x + -3)(9x + -1) = 0

Reorder the terms:
3(-1 + 2x)(-1 + 3x) + -1(2x + -3)(9x + -1) = 0

Multiply (-1 + 2x) * (-1 + 3x)
3(-1(-1 + 3x) + 2x * (-1 + 3x)) + -1(2x + -3)(9x + -1) = 0
3((-1 * -1 + 3x * -1) + 2x * (-1 + 3x)) + -1(2x + -3)(9x + -1) = 0
3((1 + -3x) + 2x * (-1 + 3x)) + -1(2x + -3)(9x + -1) = 0
3(1 + -3x + (-1 * 2x + 3x * 2x)) + -1(2x + -3)(9x + -1) = 0
3(1 + -3x + (-2x + 6x2)) + -1(2x + -3)(9x + -1) = 0

Combine like terms: -3x + -2x = -5x
3(1 + -5x + 6x2) + -1(2x + -3)(9x + -1) = 0
(1 * 3 + -5x * 3 + 6x2 * 3) + -1(2x + -3)(9x + -1) = 0
(3 + -15x + 18x2) + -1(2x + -3)(9x + -1) = 0

Reorder the terms:
3 + -15x + 18x2 + -1(-3 + 2x)(9x + -1) = 0

Reorder the terms:
3 + -15x + 18x2 + -1(-3 + 2x)(-1 + 9x) = 0

Multiply (-3 + 2x) * (-1 + 9x)
3 + -15x + 18x2 + -1(-3(-1 + 9x) + 2x * (-1 + 9x)) = 0
3 + -15x + 18x2 + -1((-1 * -3 + 9x * -3) + 2x * (-1 + 9x)) = 0
3 + -15x + 18x2 + -1((3 + -27x) + 2x * (-1 + 9x)) = 0
3 + -15x + 18x2 + -1(3 + -27x + (-1 * 2x + 9x * 2x)) = 0
3 + -15x + 18x2 + -1(3 + -27x + (-2x + 18x2)) = 0

Combine like terms: -27x + -2x = -29x
3 + -15x + 18x2 + -1(3 + -29x + 18x2) = 0
3 + -15x + 18x2 + (3 * -1 + -29x * -1 + 18x2 * -1) = 0
3 + -15x + 18x2 + (-3 + 29x + -18x2) = 0

Reorder the terms:
3 + -3 + -15x + 29x + 18x2 + -18x2 = 0

Combine like terms: 3 + -3 = 0
0 + -15x + 29x + 18x2 + -18x2 = 0
-15x + 29x + 18x2 + -18x2 = 0

Combine like terms: -15x + 29x = 14x
14x + 18x2 + -18x2 = 0

Combine like terms: 18x2 + -18x2 = 0
14x + 0 = 0
14x = 0

Solving
14x = 0

Solving for variable 'x'.

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

Divide each side by '14'.
x = 0

Simplifying
x = 0

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