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Simplifying (3y + -4)(7y + -4) = 0 Reorder the terms: (-4 + 3y)(7y + -4) = 0 Reorder the terms: (-4 + 3y)(-4 + 7y) = 0 Multiply (-4 + 3y) * (-4 + 7y) (-4(-4 + 7y) + 3y * (-4 + 7y)) = 0 ((-4 * -4 + 7y * -4) + 3y * (-4 + 7y)) = 0 ((16 + -28y) + 3y * (-4 + 7y)) = 0 (16 + -28y + (-4 * 3y + 7y * 3y)) = 0 (16 + -28y + (-12y + 21y2)) = 0 Combine like terms: -28y + -12y = -40y (16 + -40y + 21y2) = 0 Solving 16 + -40y + 21y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + -7y)(4 + -3y) = 0Subproblem 1
Set the factor '(4 + -7y)' equal to zero and attempt to solve: Simplifying 4 + -7y = 0 Solving 4 + -7y = 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 + -7y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7y = 0 + -4 -7y = 0 + -4 Combine like terms: 0 + -4 = -4 -7y = -4 Divide each side by '-7'. y = 0.5714285714 Simplifying y = 0.5714285714Subproblem 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 = {0.5714285714, 1.333333333}
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