(x+1)(x-5)(2x-4)=0

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Solution for (x+1)(x-5)(2x-4)=0 equation:


Simplifying
(x + 1)(x + -5)(2x + -4) = 0

Reorder the terms:
(1 + x)(x + -5)(2x + -4) = 0

Reorder the terms:
(1 + x)(-5 + x)(2x + -4) = 0

Reorder the terms:
(1 + x)(-5 + x)(-4 + 2x) = 0

Multiply (1 + x) * (-5 + x)
(1(-5 + x) + x(-5 + x))(-4 + 2x) = 0
((-5 * 1 + x * 1) + x(-5 + x))(-4 + 2x) = 0
((-5 + 1x) + x(-5 + x))(-4 + 2x) = 0
(-5 + 1x + (-5 * x + x * x))(-4 + 2x) = 0
(-5 + 1x + (-5x + x2))(-4 + 2x) = 0

Combine like terms: 1x + -5x = -4x
(-5 + -4x + x2)(-4 + 2x) = 0

Multiply (-5 + -4x + x2) * (-4 + 2x)
(-5(-4 + 2x) + -4x * (-4 + 2x) + x2(-4 + 2x)) = 0
((-4 * -5 + 2x * -5) + -4x * (-4 + 2x) + x2(-4 + 2x)) = 0
((20 + -10x) + -4x * (-4 + 2x) + x2(-4 + 2x)) = 0
(20 + -10x + (-4 * -4x + 2x * -4x) + x2(-4 + 2x)) = 0
(20 + -10x + (16x + -8x2) + x2(-4 + 2x)) = 0
(20 + -10x + 16x + -8x2 + (-4 * x2 + 2x * x2)) = 0
(20 + -10x + 16x + -8x2 + (-4x2 + 2x3)) = 0

Combine like terms: -10x + 16x = 6x
(20 + 6x + -8x2 + -4x2 + 2x3) = 0

Combine like terms: -8x2 + -4x2 = -12x2
(20 + 6x + -12x2 + 2x3) = 0

Solving
20 + 6x + -12x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + 3x + -6x2 + x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + 3x + -6x2 + x3)' equal to zero and attempt to solve:

Simplifying
10 + 3x + -6x2 + x3 = 0

Solving
10 + 3x + -6x2 + 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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