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Simplifying (4y + -2)(3y + -1) = 0 Reorder the terms: (-2 + 4y)(3y + -1) = 0 Reorder the terms: (-2 + 4y)(-1 + 3y) = 0 Multiply (-2 + 4y) * (-1 + 3y) (-2(-1 + 3y) + 4y * (-1 + 3y)) = 0 ((-1 * -2 + 3y * -2) + 4y * (-1 + 3y)) = 0 ((2 + -6y) + 4y * (-1 + 3y)) = 0 (2 + -6y + (-1 * 4y + 3y * 4y)) = 0 (2 + -6y + (-4y + 12y2)) = 0 Combine like terms: -6y + -4y = -10y (2 + -10y + 12y2) = 0 Solving 2 + -10y + 12y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -5y + 6y2) = 0 Factor a trinomial. 2((1 + -3y)(1 + -2y)) = 0 Ignore the factor 2.Subproblem 1
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 = 0.3333333333Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -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 + -1 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {0.3333333333, 0.5}
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