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Simplifying 2(y2 + -2y) + -1(y2 + -1y) = 0 Reorder the terms: 2(-2y + y2) + -1(y2 + -1y) = 0 (-2y * 2 + y2 * 2) + -1(y2 + -1y) = 0 (-4y + 2y2) + -1(y2 + -1y) = 0 Reorder the terms: -4y + 2y2 + -1(-1y + y2) = 0 -4y + 2y2 + (-1y * -1 + y2 * -1) = 0 -4y + 2y2 + (1y + -1y2) = 0 Reorder the terms: -4y + 1y + 2y2 + -1y2 = 0 Combine like terms: -4y + 1y = -3y -3y + 2y2 + -1y2 = 0 Combine like terms: 2y2 + -1y2 = 1y2 -3y + 1y2 = 0 Solving -3y + 1y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-3 + 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 '(-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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