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Simplifying 5y2 + -12y = 9 Reorder the terms: -12y + 5y2 = 9 Solving -12y + 5y2 = 9 Solving for variable 'y'. Reorder the terms: -9 + -12y + 5y2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -12y + 5y2 = 0 Factor a trinomial. (-3 + -5y)(3 + -1y) = 0Subproblem 1
Set the factor '(-3 + -5y)' equal to zero and attempt to solve: Simplifying -3 + -5y = 0 Solving -3 + -5y = 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 + -5y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5y = 0 + 3 -5y = 0 + 3 Combine like terms: 0 + 3 = 3 -5y = 3 Divide each side by '-5'. y = -0.6 Simplifying y = -0.6Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {-0.6, 3}
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