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Simplifying y2 = 160 + -8y + -55 Reorder the terms: y2 = 160 + -55 + -8y Combine like terms: 160 + -55 = 105 y2 = 105 + -8y Solving y2 = 105 + -8y Solving for variable 'y'. Reorder the terms: -105 + 8y + y2 = 105 + -8y + -105 + 8y Reorder the terms: -105 + 8y + y2 = 105 + -105 + -8y + 8y Combine like terms: 105 + -105 = 0 -105 + 8y + y2 = 0 + -8y + 8y -105 + 8y + y2 = -8y + 8y Combine like terms: -8y + 8y = 0 -105 + 8y + y2 = 0 Factor a trinomial. (-15 + -1y)(7 + -1y) = 0Subproblem 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 = -15Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Solution
y = {-15, 7}
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