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Simplifying 3y(5 + -2x + 4y) = 0 (5 * 3y + -2x * 3y + 4y * 3y) = 0 Reorder the terms: (-6xy + 15y + 12y2) = 0 (-6xy + 15y + 12y2) = 0 Solving -6xy + 15y + 12y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15y' to each side of the equation. -6xy + 15y + -15y + 12y2 = 0 + -15y Combine like terms: 15y + -15y = 0 -6xy + 0 + 12y2 = 0 + -15y -6xy + 12y2 = 0 + -15y Remove the zero: -6xy + 12y2 = -15y Add '-12y2' to each side of the equation. -6xy + 12y2 + -12y2 = -15y + -12y2 Combine like terms: 12y2 + -12y2 = 0 -6xy + 0 = -15y + -12y2 -6xy = -15y + -12y2 Divide each side by '-6y'. x = 2.5 + 2y Simplifying x = 2.5 + 2y
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