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Simplifying -4y2 + 16y = -180 Reorder the terms: 16y + -4y2 = -180 Solving 16y + -4y2 = -180 Solving for variable 'y'. Reorder the terms: 180 + 16y + -4y2 = -180 + 180 Combine like terms: -180 + 180 = 0 180 + 16y + -4y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(45 + 4y + -1y2) = 0 Factor a trinomial. 4((9 + -1y)(5 + y)) = 0 Ignore the factor 4.Subproblem 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 '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Solution
y = {9, -5}
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