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Simplifying 18y = 17y(y + 6) Reorder the terms: 18y = 17y(6 + y) 18y = (6 * 17y + y * 17y) 18y = (102y + 17y2) Solving 18y = 102y + 17y2 Solving for variable 'y'. Combine like terms: 18y + -102y = -84y -84y + -17y2 = 102y + 17y2 + -102y + -17y2 Reorder the terms: -84y + -17y2 = 102y + -102y + 17y2 + -17y2 Combine like terms: 102y + -102y = 0 -84y + -17y2 = 0 + 17y2 + -17y2 -84y + -17y2 = 17y2 + -17y2 Combine like terms: 17y2 + -17y2 = 0 -84y + -17y2 = 0 Factor out the Greatest Common Factor (GCF), '-1y'. -1y(84 + 17y) = 0 Ignore the factor -1.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 '(84 + 17y)' equal to zero and attempt to solve: Simplifying 84 + 17y = 0 Solving 84 + 17y = 0 Move all terms containing y to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 17y = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 17y = 0 + -84 17y = 0 + -84 Combine like terms: 0 + -84 = -84 17y = -84 Divide each side by '17'. y = -4.941176471 Simplifying y = -4.941176471Solution
y = {0, -4.941176471}
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