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Simplifying 3y2 + -3y2 = 4y2 + 20y Combine like terms: 3y2 + -3y2 = 0 0 = 4y2 + 20y Reorder the terms: 0 = 20y + 4y2 Solving 0 = 20y + 4y2 Solving for variable 'y'. Remove the zero: -20y + -4y2 = 20y + 4y2 + -20y + -4y2 Reorder the terms: -20y + -4y2 = 20y + -20y + 4y2 + -4y2 Combine like terms: 20y + -20y = 0 -20y + -4y2 = 0 + 4y2 + -4y2 -20y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -20y + -4y2 = 0 Factor out the Greatest Common Factor (GCF), '-4y'. -4y(5 + y) = 0 Ignore the factor -4.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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