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Simplifying (2y + -7)(3y + 1) = 0 Reorder the terms: (-7 + 2y)(3y + 1) = 0 Reorder the terms: (-7 + 2y)(1 + 3y) = 0 Multiply (-7 + 2y) * (1 + 3y) (-7(1 + 3y) + 2y * (1 + 3y)) = 0 ((1 * -7 + 3y * -7) + 2y * (1 + 3y)) = 0 ((-7 + -21y) + 2y * (1 + 3y)) = 0 (-7 + -21y + (1 * 2y + 3y * 2y)) = 0 (-7 + -21y + (2y + 6y2)) = 0 Combine like terms: -21y + 2y = -19y (-7 + -19y + 6y2) = 0 Solving -7 + -19y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -3y)(7 + -2y) = 0Subproblem 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 '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5Solution
y = {-0.3333333333, 3.5}
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