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Simplifying 5y = 36 + -1y * y Multiply y * y 5y = 36 + -1y2 Solving 5y = 36 + -1y2 Solving for variable 'y'. Reorder the terms: -36 + 5y + y2 = 36 + -1y2 + -36 + y2 Reorder the terms: -36 + 5y + y2 = 36 + -36 + -1y2 + y2 Combine like terms: 36 + -36 = 0 -36 + 5y + y2 = 0 + -1y2 + y2 -36 + 5y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -36 + 5y + y2 = 0 Factor a trinomial. (-9 + -1y)(4 + -1y) = 0Subproblem 1
Set the factor '(-9 + -1y)' equal to zero and attempt to solve: Simplifying -9 + -1y = 0 Solving -9 + -1y = 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 + -1y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 0 + 9 -1y = 0 + 9 Combine like terms: 0 + 9 = 9 -1y = 9 Divide each side by '-1'. y = -9 Simplifying y = -9Subproblem 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 = 4Solution
y = {-9, 4}
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