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Simplifying 4y(4y + -9y + 2) = 0 Reorder the terms: 4y(2 + 4y + -9y) = 0 Combine like terms: 4y + -9y = -5y 4y(2 + -5y) = 0 (2 * 4y + -5y * 4y) = 0 (8y + -20y2) = 0 Solving 8y + -20y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(2 + -5y) = 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 + -5y)' equal to zero and attempt to solve: Simplifying 2 + -5y = 0 Solving 2 + -5y = 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 + -5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5y = 0 + -2 -5y = 0 + -2 Combine like terms: 0 + -2 = -2 -5y = -2 Divide each side by '-5'. y = 0.4 Simplifying y = 0.4Solution
y = {0, 0.4}
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