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

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


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

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

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

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

Combine like terms: 10y + -10y = 0
y(-100 + 0 + y2) = 0
y(-100 + y2) = 0
(-100 * y + y2 * y) = 0
(-100y + y3) = 0

Solving
-100y + y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-100 + y2) = 0

Factor a difference between two squares.
y((10 + y)(-10 + y)) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 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 y 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

Simplifying
y = -10

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 y 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

Simplifying
y = 10
Solution
y = {0, -10, 10}

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