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Simplifying (3y + y)(y + -2) = 0 Combine like terms: 3y + y = 4y (4y)(y + -2) = 0 Remove parenthesis around (4y) 4y(y + -2) = 0 Reorder the terms: 4y(-2 + y) = 0 (-2 * 4y + y * 4y) = 0 (-8y + 4y2) = 0 Solving -8y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(-2 + 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 '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 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 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2Solution
y = {0, 2}
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