(9x^9-7x^7-6x)(3x^5-4x^4+3x^3-8)=0

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Solution for (9x^9-7x^7-6x)(3x^5-4x^4+3x^3-8)=0 equation:


Simplifying
(9x9 + -7x7 + -6x)(3x5 + -4x4 + 3x3 + -8) = 0

Reorder the terms:
(-6x + -7x7 + 9x9)(3x5 + -4x4 + 3x3 + -8) = 0

Reorder the terms:
(-6x + -7x7 + 9x9)(-8 + 3x3 + -4x4 + 3x5) = 0

Multiply (-6x + -7x7 + 9x9) * (-8 + 3x3 + -4x4 + 3x5)
(-6x * (-8 + 3x3 + -4x4 + 3x5) + -7x7 * (-8 + 3x3 + -4x4 + 3x5) + 9x9 * (-8 + 3x3 + -4x4 + 3x5)) = 0
((-8 * -6x + 3x3 * -6x + -4x4 * -6x + 3x5 * -6x) + -7x7 * (-8 + 3x3 + -4x4 + 3x5) + 9x9 * (-8 + 3x3 + -4x4 + 3x5)) = 0
((48x + -18x4 + 24x5 + -18x6) + -7x7 * (-8 + 3x3 + -4x4 + 3x5) + 9x9 * (-8 + 3x3 + -4x4 + 3x5)) = 0
(48x + -18x4 + 24x5 + -18x6 + (-8 * -7x7 + 3x3 * -7x7 + -4x4 * -7x7 + 3x5 * -7x7) + 9x9 * (-8 + 3x3 + -4x4 + 3x5)) = 0
(48x + -18x4 + 24x5 + -18x6 + (56x7 + -21x10 + 28x11 + -21x12) + 9x9 * (-8 + 3x3 + -4x4 + 3x5)) = 0
(48x + -18x4 + 24x5 + -18x6 + 56x7 + -21x10 + 28x11 + -21x12 + (-8 * 9x9 + 3x3 * 9x9 + -4x4 * 9x9 + 3x5 * 9x9)) = 0
(48x + -18x4 + 24x5 + -18x6 + 56x7 + -21x10 + 28x11 + -21x12 + (-72x9 + 27x12 + -36x13 + 27x14)) = 0

Reorder the terms:
(48x + -18x4 + 24x5 + -18x6 + 56x7 + -72x9 + -21x10 + 28x11 + -21x12 + 27x12 + -36x13 + 27x14) = 0

Combine like terms: -21x12 + 27x12 = 6x12
(48x + -18x4 + 24x5 + -18x6 + 56x7 + -72x9 + -21x10 + 28x11 + 6x12 + -36x13 + 27x14) = 0

Solving
48x + -18x4 + 24x5 + -18x6 + 56x7 + -72x9 + -21x10 + 28x11 + 6x12 + -36x13 + 27x14 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(48 + -18x3 + 24x4 + -18x5 + 56x6 + -72x8 + -21x9 + 28x10 + 6x11 + -36x12 + 27x13) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(48 + -18x3 + 24x4 + -18x5 + 56x6 + -72x8 + -21x9 + 28x10 + 6x11 + -36x12 + 27x13)' equal to zero and attempt to solve: Simplifying 48 + -18x3 + 24x4 + -18x5 + 56x6 + -72x8 + -21x9 + 28x10 + 6x11 + -36x12 + 27x13 = 0 Solving 48 + -18x3 + 24x4 + -18x5 + 56x6 + -72x8 + -21x9 + 28x10 + 6x11 + -36x12 + 27x13 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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