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Simplifying 3y2 = -35y Solving 3y2 = -35y Solving for variable 'y'. Reorder the terms: 35y + 3y2 = -35y + 35y Combine like terms: -35y + 35y = 0 35y + 3y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(35 + 3y) = 0Subproblem 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 '(35 + 3y)' equal to zero and attempt to solve: Simplifying 35 + 3y = 0 Solving 35 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 3y = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 3y = 0 + -35 3y = 0 + -35 Combine like terms: 0 + -35 = -35 3y = -35 Divide each side by '3'. y = -11.66666667 Simplifying y = -11.66666667Solution
y = {0, -11.66666667}
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