0=2y^2+13y-15

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Solution for 0=2y^2+13y-15 equation: 


Simplifying
0 = 2y2 + 13y + -15

Reorder the terms:
0 = -15 + 13y + 2y2

Solving
0 = -15 + 13y + 2y2

Solving for variable 'y'.

Combine like terms: 0 + 15 = 15
15 + -13y + -2y2 = -15 + 13y + 2y2 + 15 + -13y + -2y2

Reorder the terms:
15 + -13y + -2y2 = -15 + 15 + 13y + -13y + 2y2 + -2y2

Combine like terms: -15 + 15 = 0
15 + -13y + -2y2 = 0 + 13y + -13y + 2y2 + -2y2
15 + -13y + -2y2 = 13y + -13y + 2y2 + -2y2

Combine like terms: 13y + -13y = 0
15 + -13y + -2y2 = 0 + 2y2 + -2y2
15 + -13y + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
15 + -13y + -2y2 = 0

Factor a trinomial.
(1 + -1y)(15 + 2y) = 0


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

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1y = 0 + -1

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

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

Divide each side by '-1'.
y = 1

Simplifying
y = 1

Subproblem 2
Set the factor '(15 + 2y)' equal to zero and attempt to solve:

Simplifying
15 + 2y = 0

Solving
15 + 2y = 0

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

Add '-15' to each side of the equation.
15 + -15 + 2y = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2y = 0 + -15
2y = 0 + -15

Combine like terms: 0 + -15 = -15
2y = -15

Divide each side by '2'.
y = -7.5

Simplifying
y = -7.5
Solution
y = {1, -7.5}

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