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Simplifying -3y(6y + 7) = 0 Reorder the terms: -3y(7 + 6y) = 0 (7 * -3y + 6y * -3y) = 0 (-21y + -18y2) = 0 Solving -21y + -18y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-3y'. -3y(7 + 6y) = 0 Ignore the factor -3.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 '(7 + 6y)' equal to zero and attempt to solve: Simplifying 7 + 6y = 0 Solving 7 + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6y = 0 + -7 6y = 0 + -7 Combine like terms: 0 + -7 = -7 6y = -7 Divide each side by '6'. y = -1.166666667 Simplifying y = -1.166666667Solution
y = {0, -1.166666667}
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