5(x-1)(x+4)(2x-3)=0

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Solution for 5(x-1)(x+4)(2x-3)=0 equation: 


Simplifying
5(x + -1)(x + 4)(2x + -3) = 0

Reorder the terms:
5(-1 + x)(x + 4)(2x + -3) = 0

Reorder the terms:
5(-1 + x)(4 + x)(2x + -3) = 0

Reorder the terms:
5(-1 + x)(4 + x)(-3 + 2x) = 0

Multiply (-1 + x) * (4 + x)
5(-1(4 + x) + x(4 + x))(-3 + 2x) = 0
5((4 * -1 + x * -1) + x(4 + x))(-3 + 2x) = 0
5((-4 + -1x) + x(4 + x))(-3 + 2x) = 0
5(-4 + -1x + (4 * x + x * x))(-3 + 2x) = 0
5(-4 + -1x + (4x + x2))(-3 + 2x) = 0

Combine like terms: -1x + 4x = 3x
5(-4 + 3x + x2)(-3 + 2x) = 0

Multiply (-4 + 3x + x2) * (-3 + 2x)
5(-4(-3 + 2x) + 3x * (-3 + 2x) + x2(-3 + 2x)) = 0
5((-3 * -4 + 2x * -4) + 3x * (-3 + 2x) + x2(-3 + 2x)) = 0
5((12 + -8x) + 3x * (-3 + 2x) + x2(-3 + 2x)) = 0
5(12 + -8x + (-3 * 3x + 2x * 3x) + x2(-3 + 2x)) = 0
5(12 + -8x + (-9x + 6x2) + x2(-3 + 2x)) = 0
5(12 + -8x + -9x + 6x2 + (-3 * x2 + 2x * x2)) = 0
5(12 + -8x + -9x + 6x2 + (-3x2 + 2x3)) = 0

Combine like terms: -8x + -9x = -17x
5(12 + -17x + 6x2 + -3x2 + 2x3) = 0

Combine like terms: 6x2 + -3x2 = 3x2
5(12 + -17x + 3x2 + 2x3) = 0
(12 * 5 + -17x * 5 + 3x2 * 5 + 2x3 * 5) = 0
(60 + -85x + 15x2 + 10x3) = 0

Solving
60 + -85x + 15x2 + 10x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(12 + -17x + 3x2 + 2x3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(12 + -17x + 3x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
12 + -17x + 3x2 + 2x3 = 0

Solving
12 + -17x + 3x2 + 2x3 = 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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