y(33-y)=270

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Solution for y(33-y)=270 equation:


Simplifying
y(33 + -1y) = 270
(33 * y + -1y * y) = 270
(33y + -1y2) = 270

Solving
33y + -1y2 = 270

Solving for variable 'y'.

Reorder the terms:
-270 + 33y + -1y2 = 270 + -270

Combine like terms: 270 + -270 = 0
-270 + 33y + -1y2 = 0

Factor a trinomial.
(-18 + y)(15 + -1y) = 0

Subproblem 1

Set the factor '(-18 + y)' equal to zero and attempt to solve: Simplifying -18 + y = 0 Solving -18 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + y = 0 + 18 y = 0 + 18 Combine like terms: 0 + 18 = 18 y = 18 Simplifying y = 18

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 = {18, 15}

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