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Simplifying 5y2 + -7y + -12 = 0 Reorder the terms: -12 + -7y + 5y2 = 0 Solving -12 + -7y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -1y)(12 + -5y) = 0Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 2
Set the factor '(12 + -5y)' equal to zero and attempt to solve: Simplifying 12 + -5y = 0 Solving 12 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5y = 0 + -12 -5y = 0 + -12 Combine like terms: 0 + -12 = -12 -5y = -12 Divide each side by '-5'. y = 2.4 Simplifying y = 2.4Solution
y = {-1, 2.4}
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