(6x^2-12x-18)(x-1)=0

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Solution for (6x^2-12x-18)(x-1)=0 equation:


Simplifying
(6x2 + -12x + -18)(x + -1) = 0

Reorder the terms:
(-18 + -12x + 6x2)(x + -1) = 0

Reorder the terms:
(-18 + -12x + 6x2)(-1 + x) = 0

Multiply (-18 + -12x + 6x2) * (-1 + x)
(-18(-1 + x) + -12x * (-1 + x) + 6x2 * (-1 + x)) = 0
((-1 * -18 + x * -18) + -12x * (-1 + x) + 6x2 * (-1 + x)) = 0
((18 + -18x) + -12x * (-1 + x) + 6x2 * (-1 + x)) = 0
(18 + -18x + (-1 * -12x + x * -12x) + 6x2 * (-1 + x)) = 0
(18 + -18x + (12x + -12x2) + 6x2 * (-1 + x)) = 0
(18 + -18x + 12x + -12x2 + (-1 * 6x2 + x * 6x2)) = 0
(18 + -18x + 12x + -12x2 + (-6x2 + 6x3)) = 0

Combine like terms: -18x + 12x = -6x
(18 + -6x + -12x2 + -6x2 + 6x3) = 0

Combine like terms: -12x2 + -6x2 = -18x2
(18 + -6x + -18x2 + 6x3) = 0

Solving
18 + -6x + -18x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(3 + -1x + -3x2 + x3) = 0

Ignore the factor 6.

Subproblem 1

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