y^2+y-14520=0

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Solution for y^2+y-14520=0 equation:


Simplifying
y2 + y + -14520 = 0

Reorder the terms:
-14520 + y + y2 = 0

Solving
-14520 + y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-121 + -1y)(120 + -1y) = 0

Subproblem 1

Set the factor '(-121 + -1y)' equal to zero and attempt to solve: Simplifying -121 + -1y = 0 Solving -121 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '121' to each side of the equation. -121 + 121 + -1y = 0 + 121 Combine like terms: -121 + 121 = 0 0 + -1y = 0 + 121 -1y = 0 + 121 Combine like terms: 0 + 121 = 121 -1y = 121 Divide each side by '-1'. y = -121 Simplifying y = -121

Subproblem 2

Set the factor '(120 + -1y)' equal to zero and attempt to solve: Simplifying 120 + -1y = 0 Solving 120 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -1y = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -1y = 0 + -120 -1y = 0 + -120 Combine like terms: 0 + -120 = -120 -1y = -120 Divide each side by '-1'. y = 120 Simplifying y = 120

Solution

y = {-121, 120}

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