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Simplifying 2y2 = -9y + 5 Reorder the terms: 2y2 = 5 + -9y Solving 2y2 = 5 + -9y Solving for variable 'y'. Reorder the terms: -5 + 9y + 2y2 = 5 + -9y + -5 + 9y Reorder the terms: -5 + 9y + 2y2 = 5 + -5 + -9y + 9y Combine like terms: 5 + -5 = 0 -5 + 9y + 2y2 = 0 + -9y + 9y -5 + 9y + 2y2 = -9y + 9y Combine like terms: -9y + 9y = 0 -5 + 9y + 2y2 = 0 Factor a trinomial. (-5 + -1y)(1 + -2y) = 0Subproblem 1
Set the factor '(-5 + -1y)' equal to zero and attempt to solve: Simplifying -5 + -1y = 0 Solving -5 + -1y = 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 + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 0 + 5 -1y = 0 + 5 Combine like terms: 0 + 5 = 5 -1y = 5 Divide each side by '-1'. y = -5 Simplifying y = -5Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {-5, 0.5}
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