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Simplifying 6Y(y * 2 + 3Y + 1) = 0 Reorder the terms for easier multiplication: 6Y(2y + 3Y + 1) = 0 Reorder the terms: 6Y(1 + 3Y + 2y) = 0 (1 * 6Y + 3Y * 6Y + 2y * 6Y) = 0 (6Y + 18Y2 + 12yY) = 0 Solving 6Y + 18Y2 + 12yY = 0 Solving for variable 'Y'. Factor out the Greatest Common Factor (GCF), '6Y'. 6Y(1 + 3Y + 2y) = 0 Ignore the factor 6.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 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 3Y + 2y = 0 Solving 1 + 3Y + 2y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3Y + -1 + 2y = 0 + -1 Reorder the terms: 1 + -1 + 3Y + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3Y + 2y = 0 + -1 3Y + 2y = 0 + -1 Combine like terms: 0 + -1 = -1 3Y + 2y = -1 Add '-2y' to each side of the equation. 3Y + 2y + -2y = -1 + -2y Combine like terms: 2y + -2y = 0 3Y + 0 = -1 + -2y 3Y = -1 + -2y Divide each side by '3'. Y = -0.3333333333 + -0.6666666667y Simplifying Y = -0.3333333333 + -0.6666666667ySolution
Y = {0, -0.3333333333 + -0.6666666667y}
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