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Simplifying (4y + -8y)(10y + -5) = 0 Combine like terms: 4y + -8y = -4y (-4y)(10y + -5) = 0 Remove parenthesis around (-4y) -4y(10y + -5) = 0 Reorder the terms: -4y(-5 + 10y) = 0 (-5 * -4y + 10y * -4y) = 0 (20y + -40y2) = 0 Solving 20y + -40y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '20y'. 20y(1 + -2y) = 0 Ignore the factor 20.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 '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {0, 0.5}
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