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Simplifying 0 = 4y2 + -9y + 2 Reorder the terms: 0 = 2 + -9y + 4y2 Solving 0 = 2 + -9y + 4y2 Solving for variable 'y'. Combine like terms: 0 + -2 = -2 -2 + 9y + -4y2 = 2 + -9y + 4y2 + -2 + 9y + -4y2 Reorder the terms: -2 + 9y + -4y2 = 2 + -2 + -9y + 9y + 4y2 + -4y2 Combine like terms: 2 + -2 = 0 -2 + 9y + -4y2 = 0 + -9y + 9y + 4y2 + -4y2 -2 + 9y + -4y2 = -9y + 9y + 4y2 + -4y2 Combine like terms: -9y + 9y = 0 -2 + 9y + -4y2 = 0 + 4y2 + -4y2 -2 + 9y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -2 + 9y + -4y2 = 0 Factor a trinomial. (-2 + y)(1 + -4y) = 0Subproblem 1
Set the factor '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2Subproblem 2
Set the factor '(1 + -4y)' equal to zero and attempt to solve: Simplifying 1 + -4y = 0 Solving 1 + -4y = 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 + -4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = 0 + -1 -4y = 0 + -1 Combine like terms: 0 + -1 = -1 -4y = -1 Divide each side by '-4'. y = 0.25 Simplifying y = 0.25Solution
y = {2, 0.25}
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