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Simplifying 20y2 + -17 = 18y2 + 10y + -17 Reorder the terms: -17 + 20y2 = 18y2 + 10y + -17 Reorder the terms: -17 + 20y2 = -17 + 10y + 18y2 Add '17' to each side of the equation. -17 + 17 + 20y2 = -17 + 10y + 17 + 18y2 Combine like terms: -17 + 17 = 0 0 + 20y2 = -17 + 10y + 17 + 18y2 20y2 = -17 + 10y + 17 + 18y2 Reorder the terms: 20y2 = -17 + 17 + 10y + 18y2 Combine like terms: -17 + 17 = 0 20y2 = 0 + 10y + 18y2 20y2 = 10y + 18y2 Solving 20y2 = 10y + 18y2 Solving for variable 'y'. Reorder the terms: -10y + 20y2 + -18y2 = 10y + 18y2 + -10y + -18y2 Combine like terms: 20y2 + -18y2 = 2y2 -10y + 2y2 = 10y + 18y2 + -10y + -18y2 Reorder the terms: -10y + 2y2 = 10y + -10y + 18y2 + -18y2 Combine like terms: 10y + -10y = 0 -10y + 2y2 = 0 + 18y2 + -18y2 -10y + 2y2 = 18y2 + -18y2 Combine like terms: 18y2 + -18y2 = 0 -10y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(-5 + y) = 0 Ignore the factor 2.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 '(-5 + y)' equal to zero and attempt to solve: Simplifying -5 + y = 0 Solving -5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y = 0 + 5 y = 0 + 5 Combine like terms: 0 + 5 = 5 y = 5 Simplifying y = 5Solution
y = {0, 5}
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