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Simplifying 6y(3y + -4) + 22y = 0 Reorder the terms: 6y(-4 + 3y) + 22y = 0 (-4 * 6y + 3y * 6y) + 22y = 0 (-24y + 18y2) + 22y = 0 Reorder the terms: -24y + 22y + 18y2 = 0 Combine like terms: -24y + 22y = -2y -2y + 18y2 = 0 Solving -2y + 18y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-1 + 9y) = 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 + 9y)' equal to zero and attempt to solve: Simplifying -1 + 9y = 0 Solving -1 + 9y = 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 + 9y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9y = 0 + 1 9y = 0 + 1 Combine like terms: 0 + 1 = 1 9y = 1 Divide each side by '9'. y = 0.1111111111 Simplifying y = 0.1111111111Solution
y = {0, 0.1111111111}
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