(13-y)y=36

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Solution for (13-y)y=36 equation:


Simplifying
(13 + -1y) * y = 36

Reorder the terms for easier multiplication:
y(13 + -1y) = 36
(13 * y + -1y * y) = 36
(13y + -1y2) = 36

Solving
13y + -1y2 = 36

Solving for variable 'y'.

Reorder the terms:
-36 + 13y + -1y2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + 13y + -1y2 = 0

Factor a trinomial.
(-9 + y)(4 + -1y) = 0

Subproblem 1

Set the factor '(-9 + y)' equal to zero and attempt to solve: Simplifying -9 + y = 0 Solving -9 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + y = 0 + 9 y = 0 + 9 Combine like terms: 0 + 9 = 9 y = 9 Simplifying y = 9

Subproblem 2

Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4

Solution

y = {9, 4}

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