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Simplifying 0 = 5y2 + -20y + -160 Reorder the terms: 0 = -160 + -20y + 5y2 Solving 0 = -160 + -20y + 5y2 Solving for variable 'y'. Combine like terms: 0 + 160 = 160 160 + 20y + -5y2 = -160 + -20y + 5y2 + 160 + 20y + -5y2 Reorder the terms: 160 + 20y + -5y2 = -160 + 160 + -20y + 20y + 5y2 + -5y2 Combine like terms: -160 + 160 = 0 160 + 20y + -5y2 = 0 + -20y + 20y + 5y2 + -5y2 160 + 20y + -5y2 = -20y + 20y + 5y2 + -5y2 Combine like terms: -20y + 20y = 0 160 + 20y + -5y2 = 0 + 5y2 + -5y2 160 + 20y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 160 + 20y + -5y2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(32 + 4y + -1y2) = 0 Factor a trinomial. 5((8 + -1y)(4 + y)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8Subproblem 2
Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {8, -4}
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