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Simplifying (3y + -4)(7y + -3) = 0 Reorder the terms: (-4 + 3y)(7y + -3) = 0 Reorder the terms: (-4 + 3y)(-3 + 7y) = 0 Multiply (-4 + 3y) * (-3 + 7y) (-4(-3 + 7y) + 3y * (-3 + 7y)) = 0 ((-3 * -4 + 7y * -4) + 3y * (-3 + 7y)) = 0 ((12 + -28y) + 3y * (-3 + 7y)) = 0 (12 + -28y + (-3 * 3y + 7y * 3y)) = 0 (12 + -28y + (-9y + 21y2)) = 0 Combine like terms: -28y + -9y = -37y (12 + -37y + 21y2) = 0 Solving 12 + -37y + 21y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -7y)(4 + -3y) = 0Subproblem 1
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 = 0.4285714286Subproblem 2
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 = 1.333333333Solution
y = {0.4285714286, 1.333333333}
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