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Simplifying (9y + -2)(7y + 4) = 0 Reorder the terms: (-2 + 9y)(7y + 4) = 0 Reorder the terms: (-2 + 9y)(4 + 7y) = 0 Multiply (-2 + 9y) * (4 + 7y) (-2(4 + 7y) + 9y * (4 + 7y)) = 0 ((4 * -2 + 7y * -2) + 9y * (4 + 7y)) = 0 ((-8 + -14y) + 9y * (4 + 7y)) = 0 (-8 + -14y + (4 * 9y + 7y * 9y)) = 0 (-8 + -14y + (36y + 63y2)) = 0 Combine like terms: -14y + 36y = 22y (-8 + 22y + 63y2) = 0 Solving -8 + 22y + 63y2 = 0 Solving for variable 'y'. Factor a trinomial. (-4 + -7y)(2 + -9y) = 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 '(2 + -9y)' equal to zero and attempt to solve: Simplifying 2 + -9y = 0 Solving 2 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9y = 0 + -2 -9y = 0 + -2 Combine like terms: 0 + -2 = -2 -9y = -2 Divide each side by '-9'. y = 0.2222222222 Simplifying y = 0.2222222222Solution
y = {-0.5714285714, 0.2222222222}
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