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Simplifying (y + -5)(2y + 3y) = 0 Reorder the terms: (-5 + y)(2y + 3y) = 0 Combine like terms: 2y + 3y = 5y (-5 + y)(5y) = 0 Remove parenthesis around (5y) (-5 + y) * 5y = 0 Reorder the terms for easier multiplication: 5y(-5 + y) = 0 (-5 * 5y + y * 5y) = 0 (-25y + 5y2) = 0 Solving -25y + 5y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y'. 5y(-5 + y) = 0 Ignore the factor 5.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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