2(y^2+2y)-(y^2-y)=

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Solution for 2(y^2+2y)-(y^2-y)= equation: 


Simplifying
2(y2 + 2y) + -1(y2 + -1y) = 0

Reorder the terms:
2(2y + y2) + -1(y2 + -1y) = 0
(2y * 2 + y2 * 2) + -1(y2 + -1y) = 0
(4y + 2y2) + -1(y2 + -1y) = 0

Reorder the terms:
4y + 2y2 + -1(-1y + y2) = 0
4y + 2y2 + (-1y * -1 + y2 * -1) = 0
4y + 2y2 + (1y + -1y2) = 0

Reorder the terms:
4y + 1y + 2y2 + -1y2 = 0

Combine like terms: 4y + 1y = 5y
5y + 2y2 + -1y2 = 0

Combine like terms: 2y2 + -1y2 = 1y2
5y + 1y2 = 0

Solving
5y + 1y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(5 + 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 '(5 + y)' equal to zero and attempt to solve:

Simplifying
5 + y = 0

Solving
5 + y = 0

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

Add '-5' to each side of the equation.
5 + -5 + y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + y = 0 + -5
y = 0 + -5

Combine like terms: 0 + -5 = -5
y = -5

Simplifying
y = -5
Solution
y = {0, -5}

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