-6x^3+18x^2-7x-10=(x-2)

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Solution for -6x^3+18x^2-7x-10=(x-2) equation:


Simplifying
-6x3 + 18x2 + -7x + -10 = (x + -2)

Reorder the terms:
-10 + -7x + 18x2 + -6x3 = (x + -2)

Reorder the terms:
-10 + -7x + 18x2 + -6x3 = (-2 + x)

Remove parenthesis around (-2 + x)
-10 + -7x + 18x2 + -6x3 = -2 + x

Solving
-10 + -7x + 18x2 + -6x3 = -2 + x

Solving for variable 'x'.

Reorder the terms:
-10 + 2 + -7x + -1x + 18x2 + -6x3 = -2 + x + 2 + -1x

Combine like terms: -10 + 2 = -8
-8 + -7x + -1x + 18x2 + -6x3 = -2 + x + 2 + -1x

Combine like terms: -7x + -1x = -8x
-8 + -8x + 18x2 + -6x3 = -2 + x + 2 + -1x

Reorder the terms:
-8 + -8x + 18x2 + -6x3 = -2 + 2 + x + -1x

Combine like terms: -2 + 2 = 0
-8 + -8x + 18x2 + -6x3 = 0 + x + -1x
-8 + -8x + 18x2 + -6x3 = x + -1x

Combine like terms: x + -1x = 0
-8 + -8x + 18x2 + -6x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -4x + 9x2 + -3x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + -4x + 9x2 + -3x3)' equal to zero and attempt to solve: Simplifying -4 + -4x + 9x2 + -3x3 = 0 Solving -4 + -4x + 9x2 + -3x3 = 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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