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

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


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

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

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

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

Multiply (-3 + 2x) * (-5 + x)
3(-3(-5 + x) + 2x * (-5 + x))(5 + 4x) = 0
3((-5 * -3 + x * -3) + 2x * (-5 + x))(5 + 4x) = 0
3((15 + -3x) + 2x * (-5 + x))(5 + 4x) = 0
3(15 + -3x + (-5 * 2x + x * 2x))(5 + 4x) = 0
3(15 + -3x + (-10x + 2x2))(5 + 4x) = 0

Combine like terms: -3x + -10x = -13x
3(15 + -13x + 2x2)(5 + 4x) = 0

Multiply (15 + -13x + 2x2) * (5 + 4x)
3(15(5 + 4x) + -13x * (5 + 4x) + 2x2 * (5 + 4x)) = 0
3((5 * 15 + 4x * 15) + -13x * (5 + 4x) + 2x2 * (5 + 4x)) = 0
3((75 + 60x) + -13x * (5 + 4x) + 2x2 * (5 + 4x)) = 0
3(75 + 60x + (5 * -13x + 4x * -13x) + 2x2 * (5 + 4x)) = 0
3(75 + 60x + (-65x + -52x2) + 2x2 * (5 + 4x)) = 0
3(75 + 60x + -65x + -52x2 + (5 * 2x2 + 4x * 2x2)) = 0
3(75 + 60x + -65x + -52x2 + (10x2 + 8x3)) = 0

Combine like terms: 60x + -65x = -5x
3(75 + -5x + -52x2 + 10x2 + 8x3) = 0

Combine like terms: -52x2 + 10x2 = -42x2
3(75 + -5x + -42x2 + 8x3) = 0
(75 * 3 + -5x * 3 + -42x2 * 3 + 8x3 * 3) = 0
(225 + -15x + -126x2 + 24x3) = 0

Solving
225 + -15x + -126x2 + 24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(75 + -5x + -42x2 + 8x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(75 + -5x + -42x2 + 8x3)' equal to zero and attempt to solve:

Simplifying
75 + -5x + -42x2 + 8x3 = 0

Solving
75 + -5x + -42x2 + 8x3 = 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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