(-12x^2+3x-9)(13x^2-5x-3)=0

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Solution for (-12x^2+3x-9)(13x^2-5x-3)=0 equation: 


Simplifying
(-12x2 + 3x + -9)(13x2 + -5x + -3) = 0

Reorder the terms:
(-9 + 3x + -12x2)(13x2 + -5x + -3) = 0

Reorder the terms:
(-9 + 3x + -12x2)(-3 + -5x + 13x2) = 0

Multiply (-9 + 3x + -12x2) * (-3 + -5x + 13x2)
(-9(-3 + -5x + 13x2) + 3x * (-3 + -5x + 13x2) + -12x2 * (-3 + -5x + 13x2)) = 0
((-3 * -9 + -5x * -9 + 13x2 * -9) + 3x * (-3 + -5x + 13x2) + -12x2 * (-3 + -5x + 13x2)) = 0
((27 + 45x + -117x2) + 3x * (-3 + -5x + 13x2) + -12x2 * (-3 + -5x + 13x2)) = 0
(27 + 45x + -117x2 + (-3 * 3x + -5x * 3x + 13x2 * 3x) + -12x2 * (-3 + -5x + 13x2)) = 0
(27 + 45x + -117x2 + (-9x + -15x2 + 39x3) + -12x2 * (-3 + -5x + 13x2)) = 0
(27 + 45x + -117x2 + -9x + -15x2 + 39x3 + (-3 * -12x2 + -5x * -12x2 + 13x2 * -12x2)) = 0
(27 + 45x + -117x2 + -9x + -15x2 + 39x3 + (36x2 + 60x3 + -156x4)) = 0

Reorder the terms:
(27 + 45x + -9x + -117x2 + -15x2 + 36x2 + 39x3 + 60x3 + -156x4) = 0

Combine like terms: 45x + -9x = 36x
(27 + 36x + -117x2 + -15x2 + 36x2 + 39x3 + 60x3 + -156x4) = 0

Combine like terms: -117x2 + -15x2 = -132x2
(27 + 36x + -132x2 + 36x2 + 39x3 + 60x3 + -156x4) = 0

Combine like terms: -132x2 + 36x2 = -96x2
(27 + 36x + -96x2 + 39x3 + 60x3 + -156x4) = 0

Combine like terms: 39x3 + 60x3 = 99x3
(27 + 36x + -96x2 + 99x3 + -156x4) = 0

Solving
27 + 36x + -96x2 + 99x3 + -156x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + 12x + -32x2 + 33x3 + -52x4) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(9 + 12x + -32x2 + 33x3 + -52x4)' equal to zero and attempt to solve:

Simplifying
9 + 12x + -32x2 + 33x3 + -52x4 = 0

Solving
9 + 12x + -32x2 + 33x3 + -52x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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