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Simplifying 9 + -3y + 15y2 = 9 Add '-9' to each side of the equation. 9 + -3y + -9 + 15y2 = 9 + -9 Reorder the terms: 9 + -9 + -3y + 15y2 = 9 + -9 Combine like terms: 9 + -9 = 0 0 + -3y + 15y2 = 9 + -9 -3y + 15y2 = 9 + -9 Combine like terms: 9 + -9 = 0 -3y + 15y2 = 0 Solving -3y + 15y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(-1 + 5y) = 0 Ignore the factor 3.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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