y^2+7y-170=0

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Solution for y^2+7y-170=0 equation:


Simplifying
y2 + 7y + -170 = 0

Reorder the terms:
-170 + 7y + y2 = 0

Solving
-170 + 7y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-17 + -1y)(10 + -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 '(10 + -1y)' equal to zero and attempt to solve: Simplifying 10 + -1y = 0 Solving 10 + -1y = 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 + -1y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 0 + -10 -1y = 0 + -10 Combine like terms: 0 + -10 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10

Solution

y = {-17, 10}

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