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Simplifying 2y2 = 11y + 21 Reorder the terms: 2y2 = 21 + 11y Solving 2y2 = 21 + 11y Solving for variable 'y'. Reorder the terms: -21 + -11y + 2y2 = 21 + 11y + -21 + -11y Reorder the terms: -21 + -11y + 2y2 = 21 + -21 + 11y + -11y Combine like terms: 21 + -21 = 0 -21 + -11y + 2y2 = 0 + 11y + -11y -21 + -11y + 2y2 = 11y + -11y Combine like terms: 11y + -11y = 0 -21 + -11y + 2y2 = 0 Factor a trinomial. (-3 + -2y)(7 + -1y) = 0Subproblem 1
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 = -1.5Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Solution
y = {-1.5, 7}
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