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Simplifying y2 + -4y = 2y + -1y2 Reorder the terms: -4y + y2 = 2y + -1y2 Solving -4y + y2 = 2y + -1y2 Solving for variable 'y'. Reorder the terms: -4y + -2y + y2 + y2 = 2y + -1y2 + -2y + y2 Combine like terms: -4y + -2y = -6y -6y + y2 + y2 = 2y + -1y2 + -2y + y2 Combine like terms: y2 + y2 = 2y2 -6y + 2y2 = 2y + -1y2 + -2y + y2 Reorder the terms: -6y + 2y2 = 2y + -2y + -1y2 + y2 Combine like terms: 2y + -2y = 0 -6y + 2y2 = 0 + -1y2 + y2 -6y + 2y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -6y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(-3 + 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 '(-3 + y)' equal to zero and attempt to solve: Simplifying -3 + y = 0 Solving -3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y = 0 + 3 y = 0 + 3 Combine like terms: 0 + 3 = 3 y = 3 Simplifying y = 3Solution
y = {0, 3}
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