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Simplifying 5y + -3y(7y + -6y) = 0 Combine like terms: 7y + -6y = 1y 5y + -3y(1y) = 0 Remove parenthesis around (1y) 5y + -3y * 1y = 0 Reorder the terms for easier multiplication: 5y + -3 * 1y * y = 0 Multiply -3 * 1 5y + -3y * y = 0 Multiply y * y 5y + -3y2 = 0 Solving 5y + -3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(5 + -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 '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667Solution
y = {0, 1.666666667}
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