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Simplifying 28y2 + -88y2 + 12y = 0 Reorder the terms: 12y + 28y2 + -88y2 = 0 Combine like terms: 28y2 + -88y2 = -60y2 12y + -60y2 = 0 Solving 12y + -60y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '12y'. 12y(1 + -5y) = 0 Ignore the factor 12.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 + -5y)' equal to zero and attempt to solve: Simplifying 1 + -5y = 0 Solving 1 + -5y = 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 + -5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5y = 0 + -1 -5y = 0 + -1 Combine like terms: 0 + -1 = -1 -5y = -1 Divide each side by '-5'. y = 0.2 Simplifying y = 0.2Solution
y = {0, 0.2}
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