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Simplifying 0 = 15y2 + 10y Reorder the terms: 0 = 10y + 15y2 Solving 0 = 10y + 15y2 Solving for variable 'y'. Remove the zero: -10y + -15y2 = 10y + 15y2 + -10y + -15y2 Reorder the terms: -10y + -15y2 = 10y + -10y + 15y2 + -15y2 Combine like terms: 10y + -10y = 0 -10y + -15y2 = 0 + 15y2 + -15y2 -10y + -15y2 = 15y2 + -15y2 Combine like terms: 15y2 + -15y2 = 0 -10y + -15y2 = 0 Factor out the Greatest Common Factor (GCF), '-5y'. -5y(2 + 3y) = 0 Ignore the factor -5.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 + 3y)' equal to zero and attempt to solve: Simplifying 2 + 3y = 0 Solving 2 + 3y = 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 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Divide each side by '3'. y = -0.6666666667 Simplifying y = -0.6666666667Solution
y = {0, -0.6666666667}
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