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Simplifying -4y(7y + 6) = 0 Reorder the terms: -4y(6 + 7y) = 0 (6 * -4y + 7y * -4y) = 0 (-24y + -28y2) = 0 Solving -24y + -28y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-4y'. -4y(6 + 7y) = 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 '(6 + 7y)' equal to zero and attempt to solve: Simplifying 6 + 7y = 0 Solving 6 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7y = 0 + -6 7y = 0 + -6 Combine like terms: 0 + -6 = -6 7y = -6 Divide each side by '7'. y = -0.8571428571 Simplifying y = -0.8571428571Solution
y = {0, -0.8571428571}
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