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

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


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

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

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

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

Reorder the terms for easier multiplication:
x * x(-2 + 3x)(4 + x)(-5 + 3x) = 0

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

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

Combine like terms: -2x + 12x = 10x
x2(-8 + 10x + 3x2)(-5 + 3x) = 0

Multiply (-8 + 10x + 3x2) * (-5 + 3x)
x2(-8(-5 + 3x) + 10x * (-5 + 3x) + 3x2 * (-5 + 3x)) = 0
x2((-5 * -8 + 3x * -8) + 10x * (-5 + 3x) + 3x2 * (-5 + 3x)) = 0
x2((40 + -24x) + 10x * (-5 + 3x) + 3x2 * (-5 + 3x)) = 0
x2(40 + -24x + (-5 * 10x + 3x * 10x) + 3x2 * (-5 + 3x)) = 0
x2(40 + -24x + (-50x + 30x2) + 3x2 * (-5 + 3x)) = 0
x2(40 + -24x + -50x + 30x2 + (-5 * 3x2 + 3x * 3x2)) = 0
x2(40 + -24x + -50x + 30x2 + (-15x2 + 9x3)) = 0

Combine like terms: -24x + -50x = -74x
x2(40 + -74x + 30x2 + -15x2 + 9x3) = 0

Combine like terms: 30x2 + -15x2 = 15x2
x2(40 + -74x + 15x2 + 9x3) = 0
(40 * x2 + -74x * x2 + 15x2 * x2 + 9x3 * x2) = 0
(40x2 + -74x3 + 15x4 + 9x5) = 0

Solving
40x2 + -74x3 + 15x4 + 9x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(40 + -74x + 15x2 + 9x3) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(40 + -74x + 15x2 + 9x3)' equal to zero and attempt to solve:

Simplifying
40 + -74x + 15x2 + 9x3 = 0

Solving
40 + -74x + 15x2 + 9x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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