4(-5x^2-8)(x+0)=0

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Solution for 4(-5x^2-8)(x+0)=0 equation: 


Simplifying
4(-5x2 + -8)(x + 0) = 0

Reorder the terms:
4(-8 + -5x2)(x + 0) = 0

Reorder the terms:
4(-8 + -5x2)(0 + x) = 0
Remove the zero:
4(-8 + -5x2)(x) = 0

Reorder the terms for easier multiplication:
4x(-8 + -5x2) = 0
(-8 * 4x + -5x2 * 4x) = 0
(-32x + -20x3) = 0

Solving
-32x + -20x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-4x'.
-4x(8 + 5x2) = 0

Ignore the factor -4.

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 '(8 + 5x2)' equal to zero and attempt to solve:

Simplifying
8 + 5x2 = 0

Solving
8 + 5x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + 5x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x2 = 0 + -8
5x2 = 0 + -8

Combine like terms: 0 + -8 = -8
5x2 = -8

Divide each side by '5'.
x2 = -1.6

Simplifying
x2 = -1.6

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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