(x^2-3x+7)(8x^2-2x-8)=

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Solution for (x^2-3x+7)(8x^2-2x-8)= equation: 


Simplifying
(x2 + -3x + 7)(8x2 + -2x + -8) = 0

Reorder the terms:
(7 + -3x + x2)(8x2 + -2x + -8) = 0

Reorder the terms:
(7 + -3x + x2)(-8 + -2x + 8x2) = 0

Multiply (7 + -3x + x2) * (-8 + -2x + 8x2)
(7(-8 + -2x + 8x2) + -3x * (-8 + -2x + 8x2) + x2(-8 + -2x + 8x2)) = 0
((-8 * 7 + -2x * 7 + 8x2 * 7) + -3x * (-8 + -2x + 8x2) + x2(-8 + -2x + 8x2)) = 0
((-56 + -14x + 56x2) + -3x * (-8 + -2x + 8x2) + x2(-8 + -2x + 8x2)) = 0
(-56 + -14x + 56x2 + (-8 * -3x + -2x * -3x + 8x2 * -3x) + x2(-8 + -2x + 8x2)) = 0
(-56 + -14x + 56x2 + (24x + 6x2 + -24x3) + x2(-8 + -2x + 8x2)) = 0
(-56 + -14x + 56x2 + 24x + 6x2 + -24x3 + (-8 * x2 + -2x * x2 + 8x2 * x2)) = 0
(-56 + -14x + 56x2 + 24x + 6x2 + -24x3 + (-8x2 + -2x3 + 8x4)) = 0

Reorder the terms:
(-56 + -14x + 24x + 56x2 + 6x2 + -8x2 + -24x3 + -2x3 + 8x4) = 0

Combine like terms: -14x + 24x = 10x
(-56 + 10x + 56x2 + 6x2 + -8x2 + -24x3 + -2x3 + 8x4) = 0

Combine like terms: 56x2 + 6x2 = 62x2
(-56 + 10x + 62x2 + -8x2 + -24x3 + -2x3 + 8x4) = 0

Combine like terms: 62x2 + -8x2 = 54x2
(-56 + 10x + 54x2 + -24x3 + -2x3 + 8x4) = 0

Combine like terms: -24x3 + -2x3 = -26x3
(-56 + 10x + 54x2 + -26x3 + 8x4) = 0

Solving
-56 + 10x + 54x2 + -26x3 + 8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + 5x + 27x2 + -13x3 + 4x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-28 + 5x + 27x2 + -13x3 + 4x4)' equal to zero and attempt to solve:

Simplifying
-28 + 5x + 27x2 + -13x3 + 4x4 = 0

Solving
-28 + 5x + 27x2 + -13x3 + 4x4 = 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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