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Simplifying 15y + -2y + y2 + 3y = 0 Reorder the terms: 15y + -2y + 3y + y2 = 0 Combine like terms: 15y + -2y = 13y 13y + 3y + y2 = 0 Combine like terms: 13y + 3y = 16y 16y + y2 = 0 Solving 16y + y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(16 + 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 '(16 + y)' equal to zero and attempt to solve: Simplifying 16 + y = 0 Solving 16 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + y = 0 + -16 y = 0 + -16 Combine like terms: 0 + -16 = -16 y = -16 Simplifying y = -16Solution
y = {0, -16}
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