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Simplifying 10y2 = -3y + 27 Reorder the terms: 10y2 = 27 + -3y Solving 10y2 = 27 + -3y Solving for variable 'y'. Reorder the terms: -27 + 3y + 10y2 = 27 + -3y + -27 + 3y Reorder the terms: -27 + 3y + 10y2 = 27 + -27 + -3y + 3y Combine like terms: 27 + -27 = 0 -27 + 3y + 10y2 = 0 + -3y + 3y -27 + 3y + 10y2 = -3y + 3y Combine like terms: -3y + 3y = 0 -27 + 3y + 10y2 = 0 Factor a trinomial. (-9 + -5y)(3 + -2y) = 0Subproblem 1
Set the factor '(-9 + -5y)' equal to zero and attempt to solve: Simplifying -9 + -5y = 0 Solving -9 + -5y = 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 + -5y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5y = 0 + 9 -5y = 0 + 9 Combine like terms: 0 + 9 = 9 -5y = 9 Divide each side by '-5'. y = -1.8 Simplifying y = -1.8Subproblem 2
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 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 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {-1.8, 1.5}
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