(2x^2+3x)(25x^2-5x-2)=0

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Solution for (2x^2+3x)(25x^2-5x-2)=0 equation: 


Simplifying
(2x2 + 3x)(25x2 + -5x + -2) = 0

Reorder the terms:
(3x + 2x2)(25x2 + -5x + -2) = 0

Reorder the terms:
(3x + 2x2)(-2 + -5x + 25x2) = 0

Multiply (3x + 2x2) * (-2 + -5x + 25x2)
(3x * (-2 + -5x + 25x2) + 2x2 * (-2 + -5x + 25x2)) = 0
((-2 * 3x + -5x * 3x + 25x2 * 3x) + 2x2 * (-2 + -5x + 25x2)) = 0
((-6x + -15x2 + 75x3) + 2x2 * (-2 + -5x + 25x2)) = 0
(-6x + -15x2 + 75x3 + (-2 * 2x2 + -5x * 2x2 + 25x2 * 2x2)) = 0
(-6x + -15x2 + 75x3 + (-4x2 + -10x3 + 50x4)) = 0

Reorder the terms:
(-6x + -15x2 + -4x2 + 75x3 + -10x3 + 50x4) = 0

Combine like terms: -15x2 + -4x2 = -19x2
(-6x + -19x2 + 75x3 + -10x3 + 50x4) = 0

Combine like terms: 75x3 + -10x3 = 65x3
(-6x + -19x2 + 65x3 + 50x4) = 0

Solving
-6x + -19x2 + 65x3 + 50x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + -19x + 65x2 + 50x3) = 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 + -19x + 65x2 + 50x3)' equal to zero and attempt to solve:

Simplifying
-6 + -19x + 65x2 + 50x3 = 0

Solving
-6 + -19x + 65x2 + 50x3 = 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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