(4-2x^2)*(5x+2)*(3x-x^2)=0

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Solution for (4-2x^2)*(5x+2)*(3x-x^2)=0 equation: 


Simplifying
(4 + -2x2)(5x + 2)(3x + -1x2) = 0

Reorder the terms:
(4 + -2x2)(2 + 5x)(3x + -1x2) = 0

Multiply (4 + -2x2) * (2 + 5x)
(4(2 + 5x) + -2x2 * (2 + 5x))(3x + -1x2) = 0
((2 * 4 + 5x * 4) + -2x2 * (2 + 5x))(3x + -1x2) = 0
((8 + 20x) + -2x2 * (2 + 5x))(3x + -1x2) = 0
(8 + 20x + (2 * -2x2 + 5x * -2x2))(3x + -1x2) = 0
(8 + 20x + (-4x2 + -10x3))(3x + -1x2) = 0
(8 + 20x + -4x2 + -10x3)(3x + -1x2) = 0

Multiply (8 + 20x + -4x2 + -10x3) * (3x + -1x2)
(8(3x + -1x2) + 20x * (3x + -1x2) + -4x2 * (3x + -1x2) + -10x3 * (3x + -1x2)) = 0
((3x * 8 + -1x2 * 8) + 20x * (3x + -1x2) + -4x2 * (3x + -1x2) + -10x3 * (3x + -1x2)) = 0
((24x + -8x2) + 20x * (3x + -1x2) + -4x2 * (3x + -1x2) + -10x3 * (3x + -1x2)) = 0
(24x + -8x2 + (3x * 20x + -1x2 * 20x) + -4x2 * (3x + -1x2) + -10x3 * (3x + -1x2)) = 0
(24x + -8x2 + (60x2 + -20x3) + -4x2 * (3x + -1x2) + -10x3 * (3x + -1x2)) = 0
(24x + -8x2 + 60x2 + -20x3 + (3x * -4x2 + -1x2 * -4x2) + -10x3 * (3x + -1x2)) = 0
(24x + -8x2 + 60x2 + -20x3 + (-12x3 + 4x4) + -10x3 * (3x + -1x2)) = 0
(24x + -8x2 + 60x2 + -20x3 + -12x3 + 4x4 + (3x * -10x3 + -1x2 * -10x3)) = 0
(24x + -8x2 + 60x2 + -20x3 + -12x3 + 4x4 + (-30x4 + 10x5)) = 0

Combine like terms: -8x2 + 60x2 = 52x2
(24x + 52x2 + -20x3 + -12x3 + 4x4 + -30x4 + 10x5) = 0

Combine like terms: -20x3 + -12x3 = -32x3
(24x + 52x2 + -32x3 + 4x4 + -30x4 + 10x5) = 0

Combine like terms: 4x4 + -30x4 = -26x4
(24x + 52x2 + -32x3 + -26x4 + 10x5) = 0

Solving
24x + 52x2 + -32x3 + -26x4 + 10x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(12 + 26x + -16x2 + -13x3 + 5x4) = 0

Ignore the factor 2.

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 '(12 + 26x + -16x2 + -13x3 + 5x4)' equal to zero and attempt to solve:

Simplifying
12 + 26x + -16x2 + -13x3 + 5x4 = 0

Solving
12 + 26x + -16x2 + -13x3 + 5x4 = 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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