y^2+15y=34

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Solution for y^2+15y=34 equation:


Simplifying
y2 + 15y = 34

Reorder the terms:
15y + y2 = 34

Solving
15y + y2 = 34

Solving for variable 'y'.

Reorder the terms:
-34 + 15y + y2 = 34 + -34

Combine like terms: 34 + -34 = 0
-34 + 15y + y2 = 0

Factor a trinomial.
(-17 + -1y)(2 + -1y) = 0

Subproblem 1

Set the factor '(-17 + -1y)' equal to zero and attempt to solve: Simplifying -17 + -1y = 0 Solving -17 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1y = 0 + 17 -1y = 0 + 17 Combine like terms: 0 + 17 = 17 -1y = 17 Divide each side by '-1'. y = -17 Simplifying y = -17

Subproblem 2

Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2

Solution

y = {-17, 2}

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