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

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


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

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

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

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

Multiply (-3 + x) * (4 + x)
2(-3(4 + x) + x(4 + x))(-5 + 2x) = 0
2((4 * -3 + x * -3) + x(4 + x))(-5 + 2x) = 0
2((-12 + -3x) + x(4 + x))(-5 + 2x) = 0
2(-12 + -3x + (4 * x + x * x))(-5 + 2x) = 0
2(-12 + -3x + (4x + x2))(-5 + 2x) = 0

Combine like terms: -3x + 4x = 1x
2(-12 + 1x + x2)(-5 + 2x) = 0

Multiply (-12 + 1x + x2) * (-5 + 2x)
2(-12(-5 + 2x) + 1x * (-5 + 2x) + x2(-5 + 2x)) = 0
2((-5 * -12 + 2x * -12) + 1x * (-5 + 2x) + x2(-5 + 2x)) = 0
2((60 + -24x) + 1x * (-5 + 2x) + x2(-5 + 2x)) = 0
2(60 + -24x + (-5 * 1x + 2x * 1x) + x2(-5 + 2x)) = 0
2(60 + -24x + (-5x + 2x2) + x2(-5 + 2x)) = 0
2(60 + -24x + -5x + 2x2 + (-5 * x2 + 2x * x2)) = 0
2(60 + -24x + -5x + 2x2 + (-5x2 + 2x3)) = 0

Combine like terms: -24x + -5x = -29x
2(60 + -29x + 2x2 + -5x2 + 2x3) = 0

Combine like terms: 2x2 + -5x2 = -3x2
2(60 + -29x + -3x2 + 2x3) = 0
(60 * 2 + -29x * 2 + -3x2 * 2 + 2x3 * 2) = 0
(120 + -58x + -6x2 + 4x3) = 0

Solving
120 + -58x + -6x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(60 + -29x + -3x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(60 + -29x + -3x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
60 + -29x + -3x2 + 2x3 = 0

Solving
60 + -29x + -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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