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Simplifying (4y + 13)(3y + 18) = 0 Reorder the terms: (13 + 4y)(3y + 18) = 0 Reorder the terms: (13 + 4y)(18 + 3y) = 0 Multiply (13 + 4y) * (18 + 3y) (13(18 + 3y) + 4y * (18 + 3y)) = 0 ((18 * 13 + 3y * 13) + 4y * (18 + 3y)) = 0 ((234 + 39y) + 4y * (18 + 3y)) = 0 (234 + 39y + (18 * 4y + 3y * 4y)) = 0 (234 + 39y + (72y + 12y2)) = 0 Combine like terms: 39y + 72y = 111y (234 + 111y + 12y2) = 0 Solving 234 + 111y + 12y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(78 + 37y + 4y2) = 0 Factor a trinomial. 3((6 + y)(13 + 4y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + y)' equal to zero and attempt to solve: Simplifying 6 + y = 0 Solving 6 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + y = 0 + -6 y = 0 + -6 Combine like terms: 0 + -6 = -6 y = -6 Simplifying y = -6Subproblem 2
Set the factor '(13 + 4y)' equal to zero and attempt to solve: Simplifying 13 + 4y = 0 Solving 13 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4y = 0 + -13 4y = 0 + -13 Combine like terms: 0 + -13 = -13 4y = -13 Divide each side by '4'. y = -3.25 Simplifying y = -3.25Solution
y = {-6, -3.25}
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