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Simplifying 8y2 = -7y + 18 Reorder the terms: 8y2 = 18 + -7y Solving 8y2 = 18 + -7y Solving for variable 'y'. Reorder the terms: -18 + 7y + 8y2 = 18 + -7y + -18 + 7y Reorder the terms: -18 + 7y + 8y2 = 18 + -18 + -7y + 7y Combine like terms: 18 + -18 = 0 -18 + 7y + 8y2 = 0 + -7y + 7y -18 + 7y + 8y2 = -7y + 7y Combine like terms: -7y + 7y = 0 -18 + 7y + 8y2 = 0 Factor a trinomial. (-2 + -1y)(9 + -8y) = 0Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2Subproblem 2
Set the factor '(9 + -8y)' equal to zero and attempt to solve: Simplifying 9 + -8y = 0 Solving 9 + -8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8y = 0 + -9 -8y = 0 + -9 Combine like terms: 0 + -9 = -9 -8y = -9 Divide each side by '-8'. y = 1.125 Simplifying y = 1.125Solution
y = {-2, 1.125}
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