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Simplifying 60y2 + -51y + -72 = 0 Reorder the terms: -72 + -51y + 60y2 = 0 Solving -72 + -51y + 60y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(-24 + -17y + 20y2) = 0 Factor a trinomial. 3((-3 + -4y)(8 + -5y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -4y)' equal to zero and attempt to solve: Simplifying -3 + -4y = 0 Solving -3 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4y = 0 + 3 -4y = 0 + 3 Combine like terms: 0 + 3 = 3 -4y = 3 Divide each side by '-4'. y = -0.75 Simplifying y = -0.75Subproblem 2
Set the factor '(8 + -5y)' equal to zero and attempt to solve: Simplifying 8 + -5y = 0 Solving 8 + -5y = 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 + -5y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5y = 0 + -8 -5y = 0 + -8 Combine like terms: 0 + -8 = -8 -5y = -8 Divide each side by '-5'. y = 1.6 Simplifying y = 1.6Solution
y = {-0.75, 1.6}
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