7(x-2)9(8x+5)(3x^2-14x-5)=0

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Solution for 7(x-2)9(8x+5)(3x^2-14x-5)=0 equation: 


Simplifying
7(x + -2) * 9(8x + 5)(3x2 + -14x + -5) = 0

Reorder the terms:
7(-2 + x) * 9(8x + 5)(3x2 + -14x + -5) = 0

Reorder the terms:
7(-2 + x) * 9(5 + 8x)(3x2 + -14x + -5) = 0

Reorder the terms:
7(-2 + x) * 9(5 + 8x)(-5 + -14x + 3x2) = 0

Reorder the terms for easier multiplication:
7 * 9(-2 + x)(5 + 8x)(-5 + -14x + 3x2) = 0

Multiply 7 * 9
63(-2 + x)(5 + 8x)(-5 + -14x + 3x2) = 0

Multiply (-2 + x) * (5 + 8x)
63(-2(5 + 8x) + x(5 + 8x))(-5 + -14x + 3x2) = 0
63((5 * -2 + 8x * -2) + x(5 + 8x))(-5 + -14x + 3x2) = 0
63((-10 + -16x) + x(5 + 8x))(-5 + -14x + 3x2) = 0
63(-10 + -16x + (5 * x + 8x * x))(-5 + -14x + 3x2) = 0
63(-10 + -16x + (5x + 8x2))(-5 + -14x + 3x2) = 0

Combine like terms: -16x + 5x = -11x
63(-10 + -11x + 8x2)(-5 + -14x + 3x2) = 0

Multiply (-10 + -11x + 8x2) * (-5 + -14x + 3x2)
63(-10(-5 + -14x + 3x2) + -11x * (-5 + -14x + 3x2) + 8x2 * (-5 + -14x + 3x2)) = 0
63((-5 * -10 + -14x * -10 + 3x2 * -10) + -11x * (-5 + -14x + 3x2) + 8x2 * (-5 + -14x + 3x2)) = 0
63((50 + 140x + -30x2) + -11x * (-5 + -14x + 3x2) + 8x2 * (-5 + -14x + 3x2)) = 0
63(50 + 140x + -30x2 + (-5 * -11x + -14x * -11x + 3x2 * -11x) + 8x2 * (-5 + -14x + 3x2)) = 0
63(50 + 140x + -30x2 + (55x + 154x2 + -33x3) + 8x2 * (-5 + -14x + 3x2)) = 0
63(50 + 140x + -30x2 + 55x + 154x2 + -33x3 + (-5 * 8x2 + -14x * 8x2 + 3x2 * 8x2)) = 0
63(50 + 140x + -30x2 + 55x + 154x2 + -33x3 + (-40x2 + -112x3 + 24x4)) = 0

Reorder the terms:
63(50 + 140x + 55x + -30x2 + 154x2 + -40x2 + -33x3 + -112x3 + 24x4) = 0

Combine like terms: 140x + 55x = 195x
63(50 + 195x + -30x2 + 154x2 + -40x2 + -33x3 + -112x3 + 24x4) = 0

Combine like terms: -30x2 + 154x2 = 124x2
63(50 + 195x + 124x2 + -40x2 + -33x3 + -112x3 + 24x4) = 0

Combine like terms: 124x2 + -40x2 = 84x2
63(50 + 195x + 84x2 + -33x3 + -112x3 + 24x4) = 0

Combine like terms: -33x3 + -112x3 = -145x3
63(50 + 195x + 84x2 + -145x3 + 24x4) = 0
(50 * 63 + 195x * 63 + 84x2 * 63 + -145x3 * 63 + 24x4 * 63) = 0
(3150 + 12285x + 5292x2 + -9135x3 + 1512x4) = 0

Solving
3150 + 12285x + 5292x2 + -9135x3 + 1512x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '63'.
63(50 + 195x + 84x2 + -145x3 + 24x4) = 0

Ignore the factor 63.

Subproblem 1
Set the factor '(50 + 195x + 84x2 + -145x3 + 24x4)' equal to zero and attempt to solve:

Simplifying
50 + 195x + 84x2 + -145x3 + 24x4 = 0

Solving
50 + 195x + 84x2 + -145x3 + 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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