y^2-3y-180=0

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Solution for y^2-3y-180=0 equation:


Simplifying
y2 + -3y + -180 = 0

Reorder the terms:
-180 + -3y + y2 = 0

Solving
-180 + -3y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-12 + -1y)(15 + -1y) = 0

Subproblem 1

Set the factor '(-12 + -1y)' equal to zero and attempt to solve: Simplifying -12 + -1y = 0 Solving -12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = 0 + 12 -1y = 0 + 12 Combine like terms: 0 + 12 = 12 -1y = 12 Divide each side by '-1'. y = -12 Simplifying y = -12

Subproblem 2

Set the factor '(15 + -1y)' equal to zero and attempt to solve: Simplifying 15 + -1y = 0 Solving 15 + -1y = 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 + -1y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1y = 0 + -15 -1y = 0 + -15 Combine like terms: 0 + -15 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15

Solution

y = {-12, 15}

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