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Simplifying (2x + 3y)(4y + -7y) = 0 Combine like terms: 4y + -7y = -3y (2x + 3y)(-3y) = 0 Remove parenthesis around (-3y) (2x + 3y) * -3y = 0 Reorder the terms for easier multiplication: -3y(2x + 3y) = 0 (2x * -3y + 3y * -3y) = 0 (-6xy + -9y2) = 0 Solving -6xy + -9y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y2' to each side of the equation. -6xy + -9y2 + 9y2 = 0 + 9y2 Combine like terms: -9y2 + 9y2 = 0 -6xy + 0 = 0 + 9y2 -6xy = 0 + 9y2 Remove the zero: -6xy = 9y2 Divide each side by '-6y'. x = -1.5y Simplifying x = -1.5y
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