-5x^2(10x^4-1)=

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Solution for -5x^2(10x^4-1)= equation: 


Simplifying
-5x2(10x4 + -1) = 0

Reorder the terms:
-5x2(-1 + 10x4) = 0
(-1 * -5x2 + 10x4 * -5x2) = 0
(5x2 + -50x6) = 0

Solving
5x2 + -50x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(1 + -10x4) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(1 + -10x4)' equal to zero and attempt to solve:

Simplifying
1 + -10x4 = 0

Solving
1 + -10x4 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -10x4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10x4 = 0 + -1
-10x4 = 0 + -1

Combine like terms: 0 + -1 = -1
-10x4 = -1

Divide each side by '-10'.
x4 = 0.1

Simplifying
x4 = 0.1

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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