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Simplifying y2 + -5 = 3y + -5 Reorder the terms: -5 + y2 = 3y + -5 Reorder the terms: -5 + y2 = -5 + 3y Add '5' to each side of the equation. -5 + 5 + y2 = -5 + 5 + 3y Combine like terms: -5 + 5 = 0 0 + y2 = -5 + 5 + 3y y2 = -5 + 5 + 3y Combine like terms: -5 + 5 = 0 y2 = 0 + 3y y2 = 3y Solving y2 = 3y Solving for variable 'y'. Reorder the terms: -3y + y2 = 3y + -3y Combine like terms: 3y + -3y = 0 -3y + y2 = 0 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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