(y-10)X(y+10)=

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Solution for (y-10)X(y+10)= equation: 


Simplifying
(y + -10) * X(y + 10) = 0

Reorder the terms:
(-10 + y) * X(y + 10) = 0

Reorder the terms:
(-10 + y) * X(10 + y) = 0

Reorder the terms for easier multiplication:
X(-10 + y)(10 + y) = 0

Multiply (-10 + y) * (10 + y)
X(-10(10 + y) + y(10 + y)) = 0
X((10 * -10 + y * -10) + y(10 + y)) = 0
X((-100 + -10y) + y(10 + y)) = 0
X(-100 + -10y + (10 * y + y * y)) = 0
X(-100 + -10y + (10y + y2)) = 0

Combine like terms: -10y + 10y = 0
X(-100 + 0 + y2) = 0
X(-100 + y2) = 0
(-100 * X + y2 * X) = 0
(-100X + y2X) = 0

Solving
-100X + y2X = 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), 'X'.
X(-100 + y2) = 0

Factor a difference between two squares.
X((10 + y)(-10 + y)) = 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 '(10 + y)' equal to zero and attempt to solve:

Simplifying
10 + y = 0

Solving
10 + y = 0

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

Add '-10' to each side of the equation.
10 + -10 + y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + y = 0 + -10
y = 0 + -10

Combine like terms: 0 + -10 = -10
y = -10

Add '-1y' to each side of the equation.
y + -1y = -10 + -1y

Combine like terms: y + -1y = 0
0 = -10 + -1y

Simplifying
0 = -10 + -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 '(-10 + y)' equal to zero and attempt to solve:

Simplifying
-10 + y = 0

Solving
-10 + y = 0

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

Add '10' to each side of the equation.
-10 + 10 + y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + y = 0 + 10
y = 0 + 10

Combine like terms: 0 + 10 = 10
y = 10

Add '-1y' to each side of the equation.
y + -1y = 10 + -1y

Combine like terms: y + -1y = 0
0 = 10 + -1y

Simplifying
0 = 10 + -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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