(2x^2+5x)(25x^2-10-3)=0

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Solution for (2x^2+5x)(25x^2-10-3)=0 equation: 


Simplifying
(2x2 + 5x)(25x2 + -10 + -3) = 0

Reorder the terms:
(5x + 2x2)(25x2 + -10 + -3) = 0

Reorder the terms:
(5x + 2x2)(-10 + -3 + 25x2) = 0

Combine like terms: -10 + -3 = -13
(5x + 2x2)(-13 + 25x2) = 0

Multiply (5x + 2x2) * (-13 + 25x2)
(5x * (-13 + 25x2) + 2x2 * (-13 + 25x2)) = 0
((-13 * 5x + 25x2 * 5x) + 2x2 * (-13 + 25x2)) = 0
((-65x + 125x3) + 2x2 * (-13 + 25x2)) = 0
(-65x + 125x3 + (-13 * 2x2 + 25x2 * 2x2)) = 0
(-65x + 125x3 + (-26x2 + 50x4)) = 0

Reorder the terms:
(-65x + -26x2 + 125x3 + 50x4) = 0
(-65x + -26x2 + 125x3 + 50x4) = 0

Solving
-65x + -26x2 + 125x3 + 50x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-65 + -26x + 125x2 + 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 '(-65 + -26x + 125x2 + 50x3)' equal to zero and attempt to solve:

Simplifying
-65 + -26x + 125x2 + 50x3 = 0

Solving
-65 + -26x + 125x2 + 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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