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Simplifying 5x2 + axy + 8y2 + 4x = 0 Reorder the terms: axy + 4x + 5x2 + 8y2 = 0 Solving axy + 4x + 5x2 + 8y2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4x' to each side of the equation. axy + 4x + 5x2 + -4x + 8y2 = 0 + -4x Reorder the terms: axy + 4x + -4x + 5x2 + 8y2 = 0 + -4x Combine like terms: 4x + -4x = 0 axy + 0 + 5x2 + 8y2 = 0 + -4x axy + 5x2 + 8y2 = 0 + -4x Remove the zero: axy + 5x2 + 8y2 = -4x Add '-5x2' to each side of the equation. axy + 5x2 + -5x2 + 8y2 = -4x + -5x2 Combine like terms: 5x2 + -5x2 = 0 axy + 0 + 8y2 = -4x + -5x2 axy + 8y2 = -4x + -5x2 Add '-8y2' to each side of the equation. axy + 8y2 + -8y2 = -4x + -5x2 + -8y2 Combine like terms: 8y2 + -8y2 = 0 axy + 0 = -4x + -5x2 + -8y2 axy = -4x + -5x2 + -8y2 Divide each side by 'xy'. a = -4y-1 + -5xy-1 + -8x-1y Simplifying a = -4y-1 + -5xy-1 + -8x-1y Reorder the terms: a = -8x-1y + -5xy-1 + -4y-1
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