35X^2*(Y^2+X^2)=

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Solution for 35X^2*(Y^2+X^2)= equation: 


Simplifying
35X2(Y2 + X2) = 0

Reorder the terms:
35X2(X2 + Y2) = 0
(X2 * 35X2 + Y2 * 35X2) = 0

Reorder the terms:
(35X2Y2 + 35X4) = 0
(35X2Y2 + 35X4) = 0

Solving
35X2Y2 + 35X4 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '35X2'.
35X2(Y2 + X2) = 0

Ignore the factor 35.

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 '(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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