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Simplifying 5(y2 + -18) = -41y Reorder the terms: 5(-18 + y2) = -41y (-18 * 5 + y2 * 5) = -41y (-90 + 5y2) = -41y Solving -90 + 5y2 = -41y Solving for variable 'y'. Reorder the terms: -90 + 41y + 5y2 = -41y + 41y Combine like terms: -41y + 41y = 0 -90 + 41y + 5y2 = 0 Factor a trinomial. (-10 + -1y)(9 + -5y) = 0Subproblem 1
Set the factor '(-10 + -1y)' equal to zero and attempt to solve: Simplifying -10 + -1y = 0 Solving -10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1y = 0 + 10 -1y = 0 + 10 Combine like terms: 0 + 10 = 10 -1y = 10 Divide each side by '-1'. y = -10 Simplifying y = -10Subproblem 2
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 = 1.8Solution
y = {-10, 1.8}
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