p(0)=-2x^3+8x-6

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Solution for p(0)=-2x^3+8x-6 equation:


Simplifying
p(0) = -2x3 + 8x + -6

Reorder the terms for easier multiplication:
0p = -2x3 + 8x + -6

Anything times zero is zero.
0p = -2x3 + 8x + -6

Reorder the terms:
0 = -6 + 8x + -2x3

Solving
0 = -6 + 8x + -2x3

Solving for variable 'x'.

Combine like terms: 0 + 6 = 6
6 + -8x + 2x3 = -6 + 8x + -2x3 + 6 + -8x + 2x3

Reorder the terms:
6 + -8x + 2x3 = -6 + 6 + 8x + -8x + -2x3 + 2x3

Combine like terms: -6 + 6 = 0
6 + -8x + 2x3 = 0 + 8x + -8x + -2x3 + 2x3
6 + -8x + 2x3 = 8x + -8x + -2x3 + 2x3

Combine like terms: 8x + -8x = 0
6 + -8x + 2x3 = 0 + -2x3 + 2x3
6 + -8x + 2x3 = -2x3 + 2x3

Combine like terms: -2x3 + 2x3 = 0
6 + -8x + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -4x + x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + -4x + x3)' equal to zero and attempt to solve: Simplifying 3 + -4x + x3 = 0 Solving 3 + -4x + 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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