(1-4x^2)*(2x^2+3x)=0

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Solution for (1-4x^2)*(2x^2+3x)=0 equation: 


Simplifying
(1 + -4x2)(2x2 + 3x) = 0

Reorder the terms:
(1 + -4x2)(3x + 2x2) = 0

Multiply (1 + -4x2) * (3x + 2x2)
(1(3x + 2x2) + -4x2 * (3x + 2x2)) = 0
((3x * 1 + 2x2 * 1) + -4x2 * (3x + 2x2)) = 0
((3x + 2x2) + -4x2 * (3x + 2x2)) = 0
(3x + 2x2 + (3x * -4x2 + 2x2 * -4x2)) = 0
(3x + 2x2 + (-12x3 + -8x4)) = 0
(3x + 2x2 + -12x3 + -8x4) = 0

Solving
3x + 2x2 + -12x3 + -8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + 2x + -12x2 + -8x3) = 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 '(3 + 2x + -12x2 + -8x3)' equal to zero and attempt to solve:

Simplifying
3 + 2x + -12x2 + -8x3 = 0

Solving
3 + 2x + -12x2 + -8x3 = 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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