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Simplifying 5y(3y + 11) = 0 Reorder the terms: 5y(11 + 3y) = 0 (11 * 5y + 3y * 5y) = 0 (55y + 15y2) = 0 Solving 55y + 15y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y'. 5y(11 + 3y) = 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 '(11 + 3y)' equal to zero and attempt to solve: Simplifying 11 + 3y = 0 Solving 11 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3y = 0 + -11 3y = 0 + -11 Combine like terms: 0 + -11 = -11 3y = -11 Divide each side by '3'. y = -3.666666667 Simplifying y = -3.666666667Solution
y = {0, -3.666666667}
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