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Simplifying 9y(2y + -3) = -10 Reorder the terms: 9y(-3 + 2y) = -10 (-3 * 9y + 2y * 9y) = -10 (-27y + 18y2) = -10 Solving -27y + 18y2 = -10 Solving for variable 'y'. Reorder the terms: 10 + -27y + 18y2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + -27y + 18y2 = 0 Factor a trinomial. (2 + -3y)(5 + -6y) = 0Subproblem 1
Set the factor '(2 + -3y)' equal to zero and attempt to solve: Simplifying 2 + -3y = 0 Solving 2 + -3y = 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 + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = 0 + -2 -3y = 0 + -2 Combine like terms: 0 + -2 = -2 -3y = -2 Divide each side by '-3'. y = 0.6666666667 Simplifying y = 0.6666666667Subproblem 2
Set the factor '(5 + -6y)' equal to zero and attempt to solve: Simplifying 5 + -6y = 0 Solving 5 + -6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6y = 0 + -5 -6y = 0 + -5 Combine like terms: 0 + -5 = -5 -6y = -5 Divide each side by '-6'. y = 0.8333333333 Simplifying y = 0.8333333333Solution
y = {0.6666666667, 0.8333333333}
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