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Simplifying y(5 + -1y) + -1(5y + -1y * 2) = 0 (5 * y + -1y * y) + -1(5y + -1y * 2) = 0 (5y + -1y2) + -1(5y + -1y * 2) = 0 Reorder the terms for easier multiplication: 5y + -1y2 + -1(5y + -1 * 2y) = 0 Multiply -1 * 2 5y + -1y2 + -1(5y + -2y) = 0 Combine like terms: 5y + -2y = 3y 5y + -1y2 + -1(3y) = 0 Remove parenthesis around (3y) 5y + -1y2 + -1 * 3y = 0 Multiply -1 * 3 5y + -1y2 + -3y = 0 Reorder the terms: 5y + -3y + -1y2 = 0 Combine like terms: 5y + -3y = 2y 2y + -1y2 = 0 Solving 2y + -1y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(2 + -1y) = 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 '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {0, 2}
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