180=y^2-3y

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


Simplifying
180 = y2 + -3y

Reorder the terms:
180 = -3y + y2

Solving
180 = -3y + y2

Solving for variable 'y'.

Reorder the terms:
180 + 3y + -1y2 = -3y + 3y + y2 + -1y2

Combine like terms: -3y + 3y = 0
180 + 3y + -1y2 = 0 + y2 + -1y2
180 + 3y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
180 + 3y + -1y2 = 0

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

Subproblem 1

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

Subproblem 2

Set the factor '(12 + y)' equal to zero and attempt to solve: Simplifying 12 + y = 0 Solving 12 + y = 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 + y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + y = 0 + -12 y = 0 + -12 Combine like terms: 0 + -12 = -12 y = -12 Simplifying y = -12

Solution

y = {15, -12}

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