(6x^2-2x-6)(8x^2+7x+8)=0

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Solution for (6x^2-2x-6)(8x^2+7x+8)=0 equation: 


Simplifying
(6x2 + -2x + -6)(8x2 + 7x + 8) = 0

Reorder the terms:
(-6 + -2x + 6x2)(8x2 + 7x + 8) = 0

Reorder the terms:
(-6 + -2x + 6x2)(8 + 7x + 8x2) = 0

Multiply (-6 + -2x + 6x2) * (8 + 7x + 8x2)
(-6(8 + 7x + 8x2) + -2x * (8 + 7x + 8x2) + 6x2 * (8 + 7x + 8x2)) = 0
((8 * -6 + 7x * -6 + 8x2 * -6) + -2x * (8 + 7x + 8x2) + 6x2 * (8 + 7x + 8x2)) = 0
((-48 + -42x + -48x2) + -2x * (8 + 7x + 8x2) + 6x2 * (8 + 7x + 8x2)) = 0
(-48 + -42x + -48x2 + (8 * -2x + 7x * -2x + 8x2 * -2x) + 6x2 * (8 + 7x + 8x2)) = 0
(-48 + -42x + -48x2 + (-16x + -14x2 + -16x3) + 6x2 * (8 + 7x + 8x2)) = 0
(-48 + -42x + -48x2 + -16x + -14x2 + -16x3 + (8 * 6x2 + 7x * 6x2 + 8x2 * 6x2)) = 0
(-48 + -42x + -48x2 + -16x + -14x2 + -16x3 + (48x2 + 42x3 + 48x4)) = 0

Reorder the terms:
(-48 + -42x + -16x + -48x2 + -14x2 + 48x2 + -16x3 + 42x3 + 48x4) = 0

Combine like terms: -42x + -16x = -58x
(-48 + -58x + -48x2 + -14x2 + 48x2 + -16x3 + 42x3 + 48x4) = 0

Combine like terms: -48x2 + -14x2 = -62x2
(-48 + -58x + -62x2 + 48x2 + -16x3 + 42x3 + 48x4) = 0

Combine like terms: -62x2 + 48x2 = -14x2
(-48 + -58x + -14x2 + -16x3 + 42x3 + 48x4) = 0

Combine like terms: -16x3 + 42x3 = 26x3
(-48 + -58x + -14x2 + 26x3 + 48x4) = 0

Solving
-48 + -58x + -14x2 + 26x3 + 48x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + -29x + -7x2 + 13x3 + 24x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-24 + -29x + -7x2 + 13x3 + 24x4)' equal to zero and attempt to solve:

Simplifying
-24 + -29x + -7x2 + 13x3 + 24x4 = 0

Solving
-24 + -29x + -7x2 + 13x3 + 24x4 = 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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