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Simplifying 0 = 18 + -9y + -35y2 Solving 0 = 18 + -9y + -35y2 Solving for variable 'y'. Combine like terms: 0 + -18 = -18 -18 + 9y + 35y2 = 18 + -9y + -35y2 + -18 + 9y + 35y2 Reorder the terms: -18 + 9y + 35y2 = 18 + -18 + -9y + 9y + -35y2 + 35y2 Combine like terms: 18 + -18 = 0 -18 + 9y + 35y2 = 0 + -9y + 9y + -35y2 + 35y2 -18 + 9y + 35y2 = -9y + 9y + -35y2 + 35y2 Combine like terms: -9y + 9y = 0 -18 + 9y + 35y2 = 0 + -35y2 + 35y2 -18 + 9y + 35y2 = -35y2 + 35y2 Combine like terms: -35y2 + 35y2 = 0 -18 + 9y + 35y2 = 0 Factor a trinomial. (-6 + -7y)(3 + -5y) = 0Subproblem 1
Set the factor '(-6 + -7y)' equal to zero and attempt to solve: Simplifying -6 + -7y = 0 Solving -6 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7y = 0 + 6 -7y = 0 + 6 Combine like terms: 0 + 6 = 6 -7y = 6 Divide each side by '-7'. y = -0.8571428571 Simplifying y = -0.8571428571Subproblem 2
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 = 0.6Solution
y = {-0.8571428571, 0.6}
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