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Simplifying (9x + 8y)(4y + 6y) = 0 Combine like terms: 4y + 6y = 10y (9x + 8y)(10y) = 0 Remove parenthesis around (10y) (9x + 8y) * 10y = 0 Reorder the terms for easier multiplication: 10y(9x + 8y) = 0 (9x * 10y + 8y * 10y) = 0 (90xy + 80y2) = 0 Solving 90xy + 80y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80y2' to each side of the equation. 90xy + 80y2 + -80y2 = 0 + -80y2 Combine like terms: 80y2 + -80y2 = 0 90xy + 0 = 0 + -80y2 90xy = 0 + -80y2 Remove the zero: 90xy = -80y2 Divide each side by '90y'. x = -0.8888888889y Simplifying x = -0.8888888889y
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