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Simplifying 30y2 = 12y Solving 30y2 = 12y Solving for variable 'y'. Reorder the terms: -12y + 30y2 = 12y + -12y Combine like terms: 12y + -12y = 0 -12y + 30y2 = 0 Factor out the Greatest Common Factor (GCF), '6y'. 6y(-2 + 5y) = 0 Ignore the factor 6.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 '(-2 + 5y)' equal to zero and attempt to solve: Simplifying -2 + 5y = 0 Solving -2 + 5y = 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 + 5y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5y = 0 + 2 5y = 0 + 2 Combine like terms: 0 + 2 = 2 5y = 2 Divide each side by '5'. y = 0.4 Simplifying y = 0.4Solution
y = {0, 0.4}
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