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Simplifying -10y2 + 12y = 0 Reorder the terms: 12y + -10y2 = 0 Solving 12y + -10y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(6 + -5y) = 0 Ignore the factor 2.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 '(6 + -5y)' equal to zero and attempt to solve: Simplifying 6 + -5y = 0 Solving 6 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5y = 0 + -6 -5y = 0 + -6 Combine like terms: 0 + -6 = -6 -5y = -6 Divide each side by '-5'. y = 1.2 Simplifying y = 1.2Solution
y = {0, 1.2}
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