x(x^2-7y^2)=

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Solution for x(x^2-7y^2)= equation: 


Simplifying
x(x2 + -7y2) = 0
(x2 * x + -7y2 * x) = 0

Reorder the terms:
(-7xy2 + x3) = 0
(-7xy2 + x3) = 0

Solving
-7xy2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7y2 + x2) = 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 '(-7y2 + x2)' equal to zero and attempt to solve:

Simplifying
-7y2 + x2 = 0

Reorder the terms:
x2 + -7y2 = 0

Solving
x2 + -7y2 = 0

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

Add '7y2' to each side of the equation.
x2 + -7y2 + 7y2 = 0 + 7y2

Combine like terms: -7y2 + 7y2 = 0
x2 + 0 = 0 + 7y2
x2 = 0 + 7y2
Remove the zero:
x2 = 7y2

Simplifying
x2 = 7y2

Take the square root of each side:
x = {-2.645751311y, 2.645751311y}
Solution
x = {0, -2.645751311y, 2.645751311y}

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