(4x^2-3x)(5x^2-6x+2)=0

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Solution for (4x^2-3x)(5x^2-6x+2)=0 equation: 


Simplifying
(4x2 + -3x)(5x2 + -6x + 2) = 0

Reorder the terms:
(-3x + 4x2)(5x2 + -6x + 2) = 0

Reorder the terms:
(-3x + 4x2)(2 + -6x + 5x2) = 0

Multiply (-3x + 4x2) * (2 + -6x + 5x2)
(-3x * (2 + -6x + 5x2) + 4x2 * (2 + -6x + 5x2)) = 0
((2 * -3x + -6x * -3x + 5x2 * -3x) + 4x2 * (2 + -6x + 5x2)) = 0
((-6x + 18x2 + -15x3) + 4x2 * (2 + -6x + 5x2)) = 0
(-6x + 18x2 + -15x3 + (2 * 4x2 + -6x * 4x2 + 5x2 * 4x2)) = 0
(-6x + 18x2 + -15x3 + (8x2 + -24x3 + 20x4)) = 0

Reorder the terms:
(-6x + 18x2 + 8x2 + -15x3 + -24x3 + 20x4) = 0

Combine like terms: 18x2 + 8x2 = 26x2
(-6x + 26x2 + -15x3 + -24x3 + 20x4) = 0

Combine like terms: -15x3 + -24x3 = -39x3
(-6x + 26x2 + -39x3 + 20x4) = 0

Solving
-6x + 26x2 + -39x3 + 20x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + 26x + -39x2 + 20x3) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-6 + 26x + -39x2 + 20x3)' equal to zero and attempt to solve:

Simplifying
-6 + 26x + -39x2 + 20x3 = 0

Solving
-6 + 26x + -39x2 + 20x3 = 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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