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Simplifying y(2y + 12) = 80 Reorder the terms: y(12 + 2y) = 80 (12 * y + 2y * y) = 80 (12y + 2y2) = 80 Solving 12y + 2y2 = 80 Solving for variable 'y'. Reorder the terms: -80 + 12y + 2y2 = 80 + -80 Combine like terms: 80 + -80 = 0 -80 + 12y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-40 + 6y + y2) = 0 Factor a trinomial. 2((-10 + -1y)(4 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + -1y)' equal to zero and attempt to solve: Simplifying -10 + -1y = 0 Solving -10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1y = 0 + 10 -1y = 0 + 10 Combine like terms: 0 + 10 = 10 -1y = 10 Divide each side by '-1'. y = -10 Simplifying y = -10Subproblem 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 = {-10, 4}
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