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Simplifying (4 + -3y)(2 + 7y) = 0 Multiply (4 + -3y) * (2 + 7y) (4(2 + 7y) + -3y * (2 + 7y)) = 0 ((2 * 4 + 7y * 4) + -3y * (2 + 7y)) = 0 ((8 + 28y) + -3y * (2 + 7y)) = 0 (8 + 28y + (2 * -3y + 7y * -3y)) = 0 (8 + 28y + (-6y + -21y2)) = 0 Combine like terms: 28y + -6y = 22y (8 + 22y + -21y2) = 0 Solving 8 + 22y + -21y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + -3y)(2 + 7y) = 0Subproblem 1
Set the factor '(4 + -3y)' equal to zero and attempt to solve: Simplifying 4 + -3y = 0 Solving 4 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333Subproblem 2
Set the factor '(2 + 7y)' equal to zero and attempt to solve: Simplifying 2 + 7y = 0 Solving 2 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7y = 0 + -2 7y = 0 + -2 Combine like terms: 0 + -2 = -2 7y = -2 Divide each side by '7'. y = -0.2857142857 Simplifying y = -0.2857142857Solution
y = {1.333333333, -0.2857142857}
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