(2x^2-1)(x^2+7x)=0

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Solution for (2x^2-1)(x^2+7x)=0 equation: 


Simplifying
(2x2 + -1)(x2 + 7x) = 0

Reorder the terms:
(-1 + 2x2)(x2 + 7x) = 0

Reorder the terms:
(-1 + 2x2)(7x + x2) = 0

Multiply (-1 + 2x2) * (7x + x2)
(-1(7x + x2) + 2x2 * (7x + x2)) = 0
((7x * -1 + x2 * -1) + 2x2 * (7x + x2)) = 0
((-7x + -1x2) + 2x2 * (7x + x2)) = 0
(-7x + -1x2 + (7x * 2x2 + x2 * 2x2)) = 0
(-7x + -1x2 + (14x3 + 2x4)) = 0
(-7x + -1x2 + 14x3 + 2x4) = 0

Solving
-7x + -1x2 + 14x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + -1x + 14x2 + 2x3) = 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 '(-7 + -1x + 14x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-7 + -1x + 14x2 + 2x3 = 0

Solving
-7 + -1x + 14x2 + 2x3 = 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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