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Simplifying (7y + 3)(4y + 7) = 0 Reorder the terms: (3 + 7y)(4y + 7) = 0 Reorder the terms: (3 + 7y)(7 + 4y) = 0 Multiply (3 + 7y) * (7 + 4y) (3(7 + 4y) + 7y * (7 + 4y)) = 0 ((7 * 3 + 4y * 3) + 7y * (7 + 4y)) = 0 ((21 + 12y) + 7y * (7 + 4y)) = 0 (21 + 12y + (7 * 7y + 4y * 7y)) = 0 (21 + 12y + (49y + 28y2)) = 0 Combine like terms: 12y + 49y = 61y (21 + 61y + 28y2) = 0 Solving 21 + 61y + 28y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + 4y)(3 + 7y) = 0Subproblem 1
Set the factor '(7 + 4y)' equal to zero and attempt to solve: Simplifying 7 + 4y = 0 Solving 7 + 4y = 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 + 4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 0 + -7 4y = 0 + -7 Combine like terms: 0 + -7 = -7 4y = -7 Divide each side by '4'. y = -1.75 Simplifying y = -1.75Subproblem 2
Set the factor '(3 + 7y)' equal to zero and attempt to solve: Simplifying 3 + 7y = 0 Solving 3 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7y = 0 + -3 7y = 0 + -3 Combine like terms: 0 + -3 = -3 7y = -3 Divide each side by '7'. y = -0.4285714286 Simplifying y = -0.4285714286Solution
y = {-1.75, -0.4285714286}
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