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Simplifying 0 = 48y + -96y2 Solving 0 = 48y + -96y2 Solving for variable 'y'. Remove the zero: -48y + 96y2 = 48y + -96y2 + -48y + 96y2 Reorder the terms: -48y + 96y2 = 48y + -48y + -96y2 + 96y2 Combine like terms: 48y + -48y = 0 -48y + 96y2 = 0 + -96y2 + 96y2 -48y + 96y2 = -96y2 + 96y2 Combine like terms: -96y2 + 96y2 = 0 -48y + 96y2 = 0 Factor out the Greatest Common Factor (GCF), '48y'. 48y(-1 + 2y) = 0 Ignore the factor 48.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 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 = {0, 0.5}
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