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Simplifying (7y + 8)(3y + -4) = 0 Reorder the terms: (8 + 7y)(3y + -4) = 0 Reorder the terms: (8 + 7y)(-4 + 3y) = 0 Multiply (8 + 7y) * (-4 + 3y) (8(-4 + 3y) + 7y * (-4 + 3y)) = 0 ((-4 * 8 + 3y * 8) + 7y * (-4 + 3y)) = 0 ((-32 + 24y) + 7y * (-4 + 3y)) = 0 (-32 + 24y + (-4 * 7y + 3y * 7y)) = 0 (-32 + 24y + (-28y + 21y2)) = 0 Combine like terms: 24y + -28y = -4y (-32 + -4y + 21y2) = 0 Solving -32 + -4y + 21y2 = 0 Solving for variable 'y'. Factor a trinomial. (-8 + -7y)(4 + -3y) = 0Subproblem 1
Set the factor '(-8 + -7y)' equal to zero and attempt to solve: Simplifying -8 + -7y = 0 Solving -8 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7y = 0 + 8 -7y = 0 + 8 Combine like terms: 0 + 8 = 8 -7y = 8 Divide each side by '-7'. y = -1.142857143 Simplifying y = -1.142857143Subproblem 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 = {-1.142857143, 1.333333333}
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