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Simplifying 20y2 + -64y + -180 = 0 Reorder the terms: -180 + -64y + 20y2 = 0 Solving -180 + -64y + 20y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(-45 + -16y + 5y2) = 0 Factor a trinomial. 4((-9 + -5y)(5 + -1y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-9 + -5y)' equal to zero and attempt to solve: Simplifying -9 + -5y = 0 Solving -9 + -5y = 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 + -5y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5y = 0 + 9 -5y = 0 + 9 Combine like terms: 0 + 9 = 9 -5y = 9 Divide each side by '-5'. y = -1.8 Simplifying y = -1.8Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 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 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Solution
y = {-1.8, 5}
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