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Simplifying 9y = 2y2 + 4 Reorder the terms: 9y = 4 + 2y2 Solving 9y = 4 + 2y2 Solving for variable 'y'. Reorder the terms: -4 + 9y + -2y2 = 4 + 2y2 + -4 + -2y2 Reorder the terms: -4 + 9y + -2y2 = 4 + -4 + 2y2 + -2y2 Combine like terms: 4 + -4 = 0 -4 + 9y + -2y2 = 0 + 2y2 + -2y2 -4 + 9y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -4 + 9y + -2y2 = 0 Factor a trinomial. (-4 + y)(1 + -2y) = 0Subproblem 1
Set the factor '(-4 + y)' equal to zero and attempt to solve: Simplifying -4 + y = 0 Solving -4 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + y = 0 + 4 y = 0 + 4 Combine like terms: 0 + 4 = 4 y = 4 Simplifying y = 4Subproblem 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 = {4, 0.5}
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