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Simplifying X(3 + 5) + y(4 + 7y) = 0 Combine like terms: 3 + 5 = 8 X(8) + y(4 + 7y) = 0 Reorder the terms for easier multiplication: 8X + y(4 + 7y) = 0 8X + (4 * y + 7y * y) = 0 8X + (4y + 7y2) = 0 Solving 8X + 4y + 7y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4y' to each side of the equation. 8X + 4y + -4y + 7y2 = 0 + -4y Combine like terms: 4y + -4y = 0 8X + 0 + 7y2 = 0 + -4y 8X + 7y2 = 0 + -4y Remove the zero: 8X + 7y2 = -4y Add '-7y2' to each side of the equation. 8X + 7y2 + -7y2 = -4y + -7y2 Combine like terms: 7y2 + -7y2 = 0 8X + 0 = -4y + -7y2 8X = -4y + -7y2 Divide each side by '8'. X = -0.5y + -0.875y2 Simplifying X = -0.5y + -0.875y2
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