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

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


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

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

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

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

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

Combine like terms: 4x + -6x = -2x
(-12 + -2x + 2x2)(-5 + 2x) = 0

Multiply (-12 + -2x + 2x2) * (-5 + 2x)
(-12(-5 + 2x) + -2x * (-5 + 2x) + 2x2 * (-5 + 2x)) = 0
((-5 * -12 + 2x * -12) + -2x * (-5 + 2x) + 2x2 * (-5 + 2x)) = 0
((60 + -24x) + -2x * (-5 + 2x) + 2x2 * (-5 + 2x)) = 0
(60 + -24x + (-5 * -2x + 2x * -2x) + 2x2 * (-5 + 2x)) = 0
(60 + -24x + (10x + -4x2) + 2x2 * (-5 + 2x)) = 0
(60 + -24x + 10x + -4x2 + (-5 * 2x2 + 2x * 2x2)) = 0
(60 + -24x + 10x + -4x2 + (-10x2 + 4x3)) = 0

Combine like terms: -24x + 10x = -14x
(60 + -14x + -4x2 + -10x2 + 4x3) = 0

Combine like terms: -4x2 + -10x2 = -14x2
(60 + -14x + -14x2 + 4x3) = 0

Solving
60 + -14x + -14x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + -7x + -7x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(30 + -7x + -7x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
30 + -7x + -7x2 + 2x3 = 0

Solving
30 + -7x + -7x2 + 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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