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Simplifying (7 + -1y)(4y + 3) = 0 Reorder the terms: (7 + -1y)(3 + 4y) = 0 Multiply (7 + -1y) * (3 + 4y) (7(3 + 4y) + -1y * (3 + 4y)) = 0 ((3 * 7 + 4y * 7) + -1y * (3 + 4y)) = 0 ((21 + 28y) + -1y * (3 + 4y)) = 0 (21 + 28y + (3 * -1y + 4y * -1y)) = 0 (21 + 28y + (-3y + -4y2)) = 0 Combine like terms: 28y + -3y = 25y (21 + 25y + -4y2) = 0 Solving 21 + 25y + -4y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + -1y)(3 + 4y) = 0Subproblem 1
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 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 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Subproblem 2
Set the factor '(3 + 4y)' equal to zero and attempt to solve: Simplifying 3 + 4y = 0 Solving 3 + 4y = 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 + 4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4y = 0 + -3 4y = 0 + -3 Combine like terms: 0 + -3 = -3 4y = -3 Divide each side by '4'. y = -0.75 Simplifying y = -0.75Solution
y = {7, -0.75}
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