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Simplifying y(y + -5) + -3y(5 + -1y) = 0 Reorder the terms: y(-5 + y) + -3y(5 + -1y) = 0 (-5 * y + y * y) + -3y(5 + -1y) = 0 (-5y + y2) + -3y(5 + -1y) = 0 -5y + y2 + (5 * -3y + -1y * -3y) = 0 -5y + y2 + (-15y + 3y2) = 0 Reorder the terms: -5y + -15y + y2 + 3y2 = 0 Combine like terms: -5y + -15y = -20y -20y + y2 + 3y2 = 0 Combine like terms: y2 + 3y2 = 4y2 -20y + 4y2 = 0 Solving -20y + 4y2 = 0 Solving for variable 'y'. 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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