=y(2y-11)+15

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Solution for =y(2y-11)+15 equation: 


Simplifying
0 = y(2y + -11) + 15

Reorder the terms:
0 = y(-11 + 2y) + 15
0 = (-11 * y + 2y * y) + 15
0 = (-11y + 2y2) + 15

Reorder the terms:
0 = 15 + -11y + 2y2

Solving
0 = 15 + -11y + 2y2

Solving for variable 'y'.

Combine like terms: 0 + -15 = -15
-15 + 11y + -2y2 = 15 + -11y + 2y2 + -15 + 11y + -2y2

Reorder the terms:
-15 + 11y + -2y2 = 15 + -15 + -11y + 11y + 2y2 + -2y2

Combine like terms: 15 + -15 = 0
-15 + 11y + -2y2 = 0 + -11y + 11y + 2y2 + -2y2
-15 + 11y + -2y2 = -11y + 11y + 2y2 + -2y2

Combine like terms: -11y + 11y = 0
-15 + 11y + -2y2 = 0 + 2y2 + -2y2
-15 + 11y + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-15 + 11y + -2y2 = 0

Factor a trinomial.
(-3 + y)(5 + -2y) = 0


Subproblem 1
Set the factor '(-3 + y)' equal to zero and attempt to solve:

Simplifying
-3 + y = 0

Solving
-3 + y = 0

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

Add '3' to each side of the equation.
-3 + 3 + y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + y = 0 + 3
y = 0 + 3

Combine like terms: 0 + 3 = 3
y = 3

Simplifying
y = 3

Subproblem 2
Set the factor '(5 + -2y)' equal to zero and attempt to solve:

Simplifying
5 + -2y = 0

Solving
5 + -2y = 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 + -2y = 0 + -5

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

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

Divide each side by '-2'.
y = 2.5

Simplifying
y = 2.5
Solution
y = {3, 2.5}

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