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Simplifying 7y2 + -13y + -60 = 0 Reorder the terms: -60 + -13y + 7y2 = 0 Solving -60 + -13y + 7y2 = 0 Solving for variable 'y'. Factor a trinomial. (-15 + -7y)(4 + -1y) = 0Subproblem 1
Set the factor '(-15 + -7y)' equal to zero and attempt to solve: Simplifying -15 + -7y = 0 Solving -15 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -7y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -7y = 0 + 15 -7y = 0 + 15 Combine like terms: 0 + 15 = 15 -7y = 15 Divide each side by '-7'. y = -2.142857143 Simplifying y = -2.142857143Subproblem 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 = {-2.142857143, 4}
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