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Simplifying 6y(8y + -7) + 40y = 0 Reorder the terms: 6y(-7 + 8y) + 40y = 0 (-7 * 6y + 8y * 6y) + 40y = 0 (-42y + 48y2) + 40y = 0 Reorder the terms: -42y + 40y + 48y2 = 0 Combine like terms: -42y + 40y = -2y -2y + 48y2 = 0 Solving -2y + 48y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-1 + 24y) = 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 '(-1 + 24y)' equal to zero and attempt to solve: Simplifying -1 + 24y = 0 Solving -1 + 24y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 24y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 24y = 0 + 1 24y = 0 + 1 Combine like terms: 0 + 1 = 1 24y = 1 Divide each side by '24'. y = 0.04166666667 Simplifying y = 0.04166666667Solution
y = {0, 0.04166666667}
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