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Simplifying 2(y2 + -45) = -11y Reorder the terms: 2(-45 + y2) = -11y (-45 * 2 + y2 * 2) = -11y (-90 + 2y2) = -11y Solving -90 + 2y2 = -11y Solving for variable 'y'. Reorder the terms: -90 + 11y + 2y2 = -11y + 11y Combine like terms: -11y + 11y = 0 -90 + 11y + 2y2 = 0 Factor a trinomial. (-10 + -1y)(9 + -2y) = 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 + -2y)' equal to zero and attempt to solve: Simplifying 9 + -2y = 0 Solving 9 + -2y = 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 + -2y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2y = 0 + -9 -2y = 0 + -9 Combine like terms: 0 + -9 = -9 -2y = -9 Divide each side by '-2'. y = 4.5 Simplifying y = 4.5Solution
y = {-10, 4.5}
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