(3x^2-1)(2x^2+5x)=0

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Solution for (3x^2-1)(2x^2+5x)=0 equation: 


Simplifying
(3x2 + -1)(2x2 + 5x) = 0

Reorder the terms:
(-1 + 3x2)(2x2 + 5x) = 0

Reorder the terms:
(-1 + 3x2)(5x + 2x2) = 0

Multiply (-1 + 3x2) * (5x + 2x2)
(-1(5x + 2x2) + 3x2 * (5x + 2x2)) = 0
((5x * -1 + 2x2 * -1) + 3x2 * (5x + 2x2)) = 0
((-5x + -2x2) + 3x2 * (5x + 2x2)) = 0
(-5x + -2x2 + (5x * 3x2 + 2x2 * 3x2)) = 0
(-5x + -2x2 + (15x3 + 6x4)) = 0
(-5x + -2x2 + 15x3 + 6x4) = 0

Solving
-5x + -2x2 + 15x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + -2x + 15x2 + 6x3) = 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 '(-5 + -2x + 15x2 + 6x3)' equal to zero and attempt to solve:

Simplifying
-5 + -2x + 15x2 + 6x3 = 0

Solving
-5 + -2x + 15x2 + 6x3 = 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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