7*x*(x^2+y^2)=0

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Solution for 7*x*(x^2+y^2)=0 equation: 


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

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

Solving
7xy2 + 7x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(y2 + x2) = 0

Ignore the factor 7.

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 '(y2 + x2)' equal to zero and attempt to solve:

Simplifying
y2 + x2 = 0

Reorder the terms:
x2 + y2 = 0

Solving
x2 + y2 = 0

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

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = 0 + -1y2
x2 = 0 + -1y2
Remove the zero:
x2 = -1y2

Simplifying
x2 = -1y2

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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