(x-1)(x+4)(2x-6)=0

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Solution for (x-1)(x+4)(2x-6)=0 equation: 


Simplifying
(x + -1)(x + 4)(2x + -6) = 0

Reorder the terms:
(-1 + x)(x + 4)(2x + -6) = 0

Reorder the terms:
(-1 + x)(4 + x)(2x + -6) = 0

Reorder the terms:
(-1 + x)(4 + x)(-6 + 2x) = 0

Multiply (-1 + x) * (4 + x)
(-1(4 + x) + x(4 + x))(-6 + 2x) = 0
((4 * -1 + x * -1) + x(4 + x))(-6 + 2x) = 0
((-4 + -1x) + x(4 + x))(-6 + 2x) = 0
(-4 + -1x + (4 * x + x * x))(-6 + 2x) = 0
(-4 + -1x + (4x + x2))(-6 + 2x) = 0

Combine like terms: -1x + 4x = 3x
(-4 + 3x + x2)(-6 + 2x) = 0

Multiply (-4 + 3x + x2) * (-6 + 2x)
(-4(-6 + 2x) + 3x * (-6 + 2x) + x2(-6 + 2x)) = 0
((-6 * -4 + 2x * -4) + 3x * (-6 + 2x) + x2(-6 + 2x)) = 0
((24 + -8x) + 3x * (-6 + 2x) + x2(-6 + 2x)) = 0
(24 + -8x + (-6 * 3x + 2x * 3x) + x2(-6 + 2x)) = 0
(24 + -8x + (-18x + 6x2) + x2(-6 + 2x)) = 0
(24 + -8x + -18x + 6x2 + (-6 * x2 + 2x * x2)) = 0
(24 + -8x + -18x + 6x2 + (-6x2 + 2x3)) = 0

Combine like terms: -8x + -18x = -26x
(24 + -26x + 6x2 + -6x2 + 2x3) = 0

Combine like terms: 6x2 + -6x2 = 0
(24 + -26x + 0 + 2x3) = 0
(24 + -26x + 2x3) = 0

Solving
24 + -26x + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -13x + x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(12 + -13x + x3)' equal to zero and attempt to solve:

Simplifying
12 + -13x + x3 = 0

Solving
12 + -13x + 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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