(-4x^2-5x-1)(4x^2-6x-2)=0

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Solution for (-4x^2-5x-1)(4x^2-6x-2)=0 equation: 


Simplifying
(-4x2 + -5x + -1)(4x2 + -6x + -2) = 0

Reorder the terms:
(-1 + -5x + -4x2)(4x2 + -6x + -2) = 0

Reorder the terms:
(-1 + -5x + -4x2)(-2 + -6x + 4x2) = 0

Multiply (-1 + -5x + -4x2) * (-2 + -6x + 4x2)
(-1(-2 + -6x + 4x2) + -5x * (-2 + -6x + 4x2) + -4x2 * (-2 + -6x + 4x2)) = 0
((-2 * -1 + -6x * -1 + 4x2 * -1) + -5x * (-2 + -6x + 4x2) + -4x2 * (-2 + -6x + 4x2)) = 0
((2 + 6x + -4x2) + -5x * (-2 + -6x + 4x2) + -4x2 * (-2 + -6x + 4x2)) = 0
(2 + 6x + -4x2 + (-2 * -5x + -6x * -5x + 4x2 * -5x) + -4x2 * (-2 + -6x + 4x2)) = 0
(2 + 6x + -4x2 + (10x + 30x2 + -20x3) + -4x2 * (-2 + -6x + 4x2)) = 0
(2 + 6x + -4x2 + 10x + 30x2 + -20x3 + (-2 * -4x2 + -6x * -4x2 + 4x2 * -4x2)) = 0
(2 + 6x + -4x2 + 10x + 30x2 + -20x3 + (8x2 + 24x3 + -16x4)) = 0

Reorder the terms:
(2 + 6x + 10x + -4x2 + 30x2 + 8x2 + -20x3 + 24x3 + -16x4) = 0

Combine like terms: 6x + 10x = 16x
(2 + 16x + -4x2 + 30x2 + 8x2 + -20x3 + 24x3 + -16x4) = 0

Combine like terms: -4x2 + 30x2 = 26x2
(2 + 16x + 26x2 + 8x2 + -20x3 + 24x3 + -16x4) = 0

Combine like terms: 26x2 + 8x2 = 34x2
(2 + 16x + 34x2 + -20x3 + 24x3 + -16x4) = 0

Combine like terms: -20x3 + 24x3 = 4x3
(2 + 16x + 34x2 + 4x3 + -16x4) = 0

Solving
2 + 16x + 34x2 + 4x3 + -16x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 8x + 17x2 + 2x3 + -8x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + 8x + 17x2 + 2x3 + -8x4)' equal to zero and attempt to solve:

Simplifying
1 + 8x + 17x2 + 2x3 + -8x4 = 0

Solving
1 + 8x + 17x2 + 2x3 + -8x4 = 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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