(7x^2+6x-6)(3x-2)=x

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Solution for (7x^2+6x-6)(3x-2)=x equation:


Simplifying
(7x2 + 6x + -6)(3x + -2) = x

Reorder the terms:
(-6 + 6x + 7x2)(3x + -2) = x

Reorder the terms:
(-6 + 6x + 7x2)(-2 + 3x) = x

Multiply (-6 + 6x + 7x2) * (-2 + 3x)
(-6(-2 + 3x) + 6x * (-2 + 3x) + 7x2 * (-2 + 3x)) = x
((-2 * -6 + 3x * -6) + 6x * (-2 + 3x) + 7x2 * (-2 + 3x)) = x
((12 + -18x) + 6x * (-2 + 3x) + 7x2 * (-2 + 3x)) = x
(12 + -18x + (-2 * 6x + 3x * 6x) + 7x2 * (-2 + 3x)) = x
(12 + -18x + (-12x + 18x2) + 7x2 * (-2 + 3x)) = x
(12 + -18x + -12x + 18x2 + (-2 * 7x2 + 3x * 7x2)) = x
(12 + -18x + -12x + 18x2 + (-14x2 + 21x3)) = x

Combine like terms: -18x + -12x = -30x
(12 + -30x + 18x2 + -14x2 + 21x3) = x

Combine like terms: 18x2 + -14x2 = 4x2
(12 + -30x + 4x2 + 21x3) = x

Solving
12 + -30x + 4x2 + 21x3 = x

Solving for variable 'x'.

Reorder the terms:
12 + -30x + -1x + 4x2 + 21x3 = x + -1x

Combine like terms: -30x + -1x = -31x
12 + -31x + 4x2 + 21x3 = x + -1x

Combine like terms: x + -1x = 0
12 + -31x + 4x2 + 21x3 = 0

The solution to this equation could not be determined.

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