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Simplifying 2y2 + -1y + -91 = 0 Reorder the terms: -91 + -1y + 2y2 = 0 Solving -91 + -1y + 2y2 = 0 Solving for variable 'y'. Factor a trinomial. (-13 + -2y)(7 + -1y) = 0Subproblem 1
Set the factor '(-13 + -2y)' equal to zero and attempt to solve: Simplifying -13 + -2y = 0 Solving -13 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2y = 0 + 13 -2y = 0 + 13 Combine like terms: 0 + 13 = 13 -2y = 13 Divide each side by '-2'. y = -6.5 Simplifying y = -6.5Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Solution
y = {-6.5, 7}
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