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Simplifying 0 = 14y + -1y2 Solving 0 = 14y + -1y2 Solving for variable 'y'. Remove the zero: -14y + y2 = 14y + -1y2 + -14y + y2 Reorder the terms: -14y + y2 = 14y + -14y + -1y2 + y2 Combine like terms: 14y + -14y = 0 -14y + y2 = 0 + -1y2 + y2 -14y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -14y + y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-14 + y) = 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 '(-14 + y)' equal to zero and attempt to solve: Simplifying -14 + y = 0 Solving -14 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + y = 0 + 14 y = 0 + 14 Combine like terms: 0 + 14 = 14 y = 14 Simplifying y = 14Solution
y = {0, 14}
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