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Simplifying 3y(8y + -7) + 13y = 0 Reorder the terms: 3y(-7 + 8y) + 13y = 0 (-7 * 3y + 8y * 3y) + 13y = 0 (-21y + 24y2) + 13y = 0 Reorder the terms: -21y + 13y + 24y2 = 0 Combine like terms: -21y + 13y = -8y -8y + 24y2 = 0 Solving -8y + 24y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8y'. 8y(-1 + 3y) = 0 Ignore the factor 8.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 + 3y)' equal to zero and attempt to solve: Simplifying -1 + 3y = 0 Solving -1 + 3y = 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 + 3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3y = 0 + 1 3y = 0 + 1 Combine like terms: 0 + 1 = 1 3y = 1 Divide each side by '3'. y = 0.3333333333 Simplifying y = 0.3333333333Solution
y = {0, 0.3333333333}
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