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

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


Simplifying
8(x7 + -2x6)(x2 + -2) = 0

Reorder the terms:
8(-2x6 + x7)(x2 + -2) = 0

Reorder the terms:
8(-2x6 + x7)(-2 + x2) = 0

Multiply (-2x6 + x7) * (-2 + x2)
8(-2x6 * (-2 + x2) + x7(-2 + x2)) = 0
8((-2 * -2x6 + x2 * -2x6) + x7(-2 + x2)) = 0
8((4x6 + -2x8) + x7(-2 + x2)) = 0
8(4x6 + -2x8 + (-2 * x7 + x2 * x7)) = 0
8(4x6 + -2x8 + (-2x7 + x9)) = 0

Reorder the terms:
8(4x6 + -2x7 + -2x8 + x9) = 0
8(4x6 + -2x7 + -2x8 + x9) = 0
(4x6 * 8 + -2x7 * 8 + -2x8 * 8 + x9 * 8) = 0
(32x6 + -16x7 + -16x8 + 8x9) = 0

Solving
32x6 + -16x7 + -16x8 + 8x9 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x6'.
8x6(4 + -2x + -2x2 + x3) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'x6' equal to zero and attempt to solve: Simplifying x6 = 0 Solving x6 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(4 + -2x + -2x2 + x3)' equal to zero and attempt to solve: Simplifying 4 + -2x + -2x2 + x3 = 0 Solving 4 + -2x + -2x2 + x3 = 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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