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Simplifying (7y + 6)(5y + -4) = 0 Reorder the terms: (6 + 7y)(5y + -4) = 0 Reorder the terms: (6 + 7y)(-4 + 5y) = 0 Multiply (6 + 7y) * (-4 + 5y) (6(-4 + 5y) + 7y * (-4 + 5y)) = 0 ((-4 * 6 + 5y * 6) + 7y * (-4 + 5y)) = 0 ((-24 + 30y) + 7y * (-4 + 5y)) = 0 (-24 + 30y + (-4 * 7y + 5y * 7y)) = 0 (-24 + 30y + (-28y + 35y2)) = 0 Combine like terms: 30y + -28y = 2y (-24 + 2y + 35y2) = 0 Solving -24 + 2y + 35y2 = 0 Solving for variable 'y'. Factor a trinomial. (-6 + -7y)(4 + -5y) = 0Subproblem 1
Set the factor '(-6 + -7y)' equal to zero and attempt to solve: Simplifying -6 + -7y = 0 Solving -6 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7y = 0 + 6 -7y = 0 + 6 Combine like terms: 0 + 6 = 6 -7y = 6 Divide each side by '-7'. y = -0.8571428571 Simplifying y = -0.8571428571Subproblem 2
Set the factor '(4 + -5y)' equal to zero and attempt to solve: Simplifying 4 + -5y = 0 Solving 4 + -5y = 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 + -5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = 0 + -4 -5y = 0 + -4 Combine like terms: 0 + -4 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8Solution
y = {-0.8571428571, 0.8}
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