0=2x^3+6x^2+8x-40

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Solution for 0=2x^3+6x^2+8x-40 equation:


Simplifying
0 = 2x3 + 6x2 + 8x + -40

Reorder the terms:
0 = -40 + 8x + 6x2 + 2x3

Solving
0 = -40 + 8x + 6x2 + 2x3

Solving for variable 'x'.

Combine like terms: 0 + 40 = 40
40 + -8x + -6x2 + -2x3 = -40 + 8x + 6x2 + 2x3 + 40 + -8x + -6x2 + -2x3

Reorder the terms:
40 + -8x + -6x2 + -2x3 = -40 + 40 + 8x + -8x + 6x2 + -6x2 + 2x3 + -2x3

Combine like terms: -40 + 40 = 0
40 + -8x + -6x2 + -2x3 = 0 + 8x + -8x + 6x2 + -6x2 + 2x3 + -2x3
40 + -8x + -6x2 + -2x3 = 8x + -8x + 6x2 + -6x2 + 2x3 + -2x3

Combine like terms: 8x + -8x = 0
40 + -8x + -6x2 + -2x3 = 0 + 6x2 + -6x2 + 2x3 + -2x3
40 + -8x + -6x2 + -2x3 = 6x2 + -6x2 + 2x3 + -2x3

Combine like terms: 6x2 + -6x2 = 0
40 + -8x + -6x2 + -2x3 = 0 + 2x3 + -2x3
40 + -8x + -6x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
40 + -8x + -6x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + -4x + -3x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(20 + -4x + -3x2 + -1x3)' equal to zero and attempt to solve: Simplifying 20 + -4x + -3x2 + -1x3 = 0 Solving 20 + -4x + -3x2 + -1x3 = 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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