0=y(y+10)

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Solution for 0=y(y+10) equation: 


Simplifying
0 = y(y + 10)

Reorder the terms:
0 = y(10 + y)
0 = (10 * y + y * y)
0 = (10y + y2)

Solving
0 = 10y + y2

Solving for variable 'y'.
Remove the zero:
-10y + -1y2 = 10y + y2 + -10y + -1y2

Reorder the terms:
-10y + -1y2 = 10y + -10y + y2 + -1y2

Combine like terms: 10y + -10y = 0
-10y + -1y2 = 0 + y2 + -1y2
-10y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-10y + -1y2 = 0

Factor out the Greatest Common Factor (GCF), '-1y'.
-1y(10 + y) = 0

Ignore the factor -1.

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
Solution
y = {0, -10}

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