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Simplifying -3y(y + -17) = 0 Reorder the terms: -3y(-17 + y) = 0 (-17 * -3y + y * -3y) = 0 (51y + -3y2) = 0 Solving 51y + -3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(17 + -1y) = 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 '(17 + -1y)' equal to zero and attempt to solve: Simplifying 17 + -1y = 0 Solving 17 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1y = 0 + -17 -1y = 0 + -17 Combine like terms: 0 + -17 = -17 -1y = -17 Divide each side by '-1'. y = 17 Simplifying y = 17Solution
y = {0, 17}
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