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Simplifying 4y(7y + -6) + 18y = 0 Reorder the terms: 4y(-6 + 7y) + 18y = 0 (-6 * 4y + 7y * 4y) + 18y = 0 (-24y + 28y2) + 18y = 0 Reorder the terms: -24y + 18y + 28y2 = 0 Combine like terms: -24y + 18y = -6y -6y + 28y2 = 0 Solving -6y + 28y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-3 + 14y) = 0 Ignore the factor 2.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 '(-3 + 14y)' equal to zero and attempt to solve: Simplifying -3 + 14y = 0 Solving -3 + 14y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 14y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 14y = 0 + 3 14y = 0 + 3 Combine like terms: 0 + 3 = 3 14y = 3 Divide each side by '14'. y = 0.2142857143 Simplifying y = 0.2142857143Solution
y = {0, 0.2142857143}
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