(3x^2+7x-20)*x(x-4)=0

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Solution for (3x^2+7x-20)*x(x-4)=0 equation: 


Simplifying
(3x2 + 7x + -20) * x(x + -4) = 0

Reorder the terms:
(-20 + 7x + 3x2) * x(x + -4) = 0

Reorder the terms:
(-20 + 7x + 3x2) * x(-4 + x) = 0

Reorder the terms for easier multiplication:
x(-20 + 7x + 3x2)(-4 + x) = 0

Multiply (-20 + 7x + 3x2) * (-4 + x)
x(-20(-4 + x) + 7x * (-4 + x) + 3x2 * (-4 + x)) = 0
x((-4 * -20 + x * -20) + 7x * (-4 + x) + 3x2 * (-4 + x)) = 0
x((80 + -20x) + 7x * (-4 + x) + 3x2 * (-4 + x)) = 0
x(80 + -20x + (-4 * 7x + x * 7x) + 3x2 * (-4 + x)) = 0
x(80 + -20x + (-28x + 7x2) + 3x2 * (-4 + x)) = 0
x(80 + -20x + -28x + 7x2 + (-4 * 3x2 + x * 3x2)) = 0
x(80 + -20x + -28x + 7x2 + (-12x2 + 3x3)) = 0

Combine like terms: -20x + -28x = -48x
x(80 + -48x + 7x2 + -12x2 + 3x3) = 0

Combine like terms: 7x2 + -12x2 = -5x2
x(80 + -48x + -5x2 + 3x3) = 0
(80 * x + -48x * x + -5x2 * x + 3x3 * x) = 0
(80x + -48x2 + -5x3 + 3x4) = 0

Solving
80x + -48x2 + -5x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(80 + -48x + -5x2 + 3x3) = 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 '(80 + -48x + -5x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
80 + -48x + -5x2 + 3x3 = 0

Solving
80 + -48x + -5x2 + 3x3 = 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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