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Simplifying y(y + -6) + -4y(y + -5) = 0 Reorder the terms: y(-6 + y) + -4y(y + -5) = 0 (-6 * y + y * y) + -4y(y + -5) = 0 (-6y + y2) + -4y(y + -5) = 0 Reorder the terms: -6y + y2 + -4y(-5 + y) = 0 -6y + y2 + (-5 * -4y + y * -4y) = 0 -6y + y2 + (20y + -4y2) = 0 Reorder the terms: -6y + 20y + y2 + -4y2 = 0 Combine like terms: -6y + 20y = 14y 14y + y2 + -4y2 = 0 Combine like terms: y2 + -4y2 = -3y2 14y + -3y2 = 0 Solving 14y + -3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(14 + -3y) = 0Subproblem 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 '(14 + -3y)' equal to zero and attempt to solve: Simplifying 14 + -3y = 0 Solving 14 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3y = 0 + -14 -3y = 0 + -14 Combine like terms: 0 + -14 = -14 -3y = -14 Divide each side by '-3'. y = 4.666666667 Simplifying y = 4.666666667Solution
y = {0, 4.666666667}
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