Y^2(x^2)-x^2=

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Solution for Y^2(x^2)-x^2= equation: 


Simplifying
Y2(x2) + -1x2 = 0

Multiply Y2 * x2
x2Y2 + -1x2 = 0

Reorder the terms:
-1x2 + x2Y2 = 0

Solving
-1x2 + x2Y2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-1 + Y2) = 0

Factor a difference between two squares.
x2((1 + Y)(-1 + Y)) = 0


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 + Y)' equal to zero and attempt to solve:

Simplifying
1 + Y = 0

Solving
1 + Y = 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 + Y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + Y = 0 + -1
Y = 0 + -1

Combine like terms: 0 + -1 = -1
Y = -1

Add '-1Y' to each side of the equation.
Y + -1Y = -1 + -1Y

Combine like terms: Y + -1Y = 0
0 = -1 + -1Y

Simplifying
0 = -1 + -1Y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(-1 + Y)' equal to zero and attempt to solve:

Simplifying
-1 + Y = 0

Solving
-1 + Y = 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 + Y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + Y = 0 + 1
Y = 0 + 1

Combine like terms: 0 + 1 = 1
Y = 1

Add '-1Y' to each side of the equation.
Y + -1Y = 1 + -1Y

Combine like terms: Y + -1Y = 0
0 = 1 + -1Y

Simplifying
0 = 1 + -1Y

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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