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

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


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

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

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

Multiply (-5x + 2x2) * (-3 + 5x + 2x2)
(-5x * (-3 + 5x + 2x2) + 2x2 * (-3 + 5x + 2x2)) = 0
((-3 * -5x + 5x * -5x + 2x2 * -5x) + 2x2 * (-3 + 5x + 2x2)) = 0
((15x + -25x2 + -10x3) + 2x2 * (-3 + 5x + 2x2)) = 0
(15x + -25x2 + -10x3 + (-3 * 2x2 + 5x * 2x2 + 2x2 * 2x2)) = 0
(15x + -25x2 + -10x3 + (-6x2 + 10x3 + 4x4)) = 0

Reorder the terms:
(15x + -25x2 + -6x2 + -10x3 + 10x3 + 4x4) = 0

Combine like terms: -25x2 + -6x2 = -31x2
(15x + -31x2 + -10x3 + 10x3 + 4x4) = 0

Combine like terms: -10x3 + 10x3 = 0
(15x + -31x2 + 0 + 4x4) = 0
(15x + -31x2 + 4x4) = 0

Solving
15x + -31x2 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(15 + -31x + 4x3) = 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 '(15 + -31x + 4x3)' equal to zero and attempt to solve:

Simplifying
15 + -31x + 4x3 = 0

Solving
15 + -31x + 4x3 = 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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