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Simplifying ax2 + cy2 + dx + ey + f = 0 Solving ax2 + cy2 + dx + ey + f = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1cy2' to each side of the equation. ax2 + cy2 + dx + ey + -1cy2 + f = 0 + -1cy2 Reorder the terms: ax2 + cy2 + -1cy2 + dx + ey + f = 0 + -1cy2 Combine like terms: cy2 + -1cy2 = 0 ax2 + 0 + dx + ey + f = 0 + -1cy2 ax2 + dx + ey + f = 0 + -1cy2 Remove the zero: ax2 + dx + ey + f = -1cy2 Add '-1dx' to each side of the equation. ax2 + dx + ey + -1dx + f = -1cy2 + -1dx Reorder the terms: ax2 + dx + -1dx + ey + f = -1cy2 + -1dx Combine like terms: dx + -1dx = 0 ax2 + 0 + ey + f = -1cy2 + -1dx ax2 + ey + f = -1cy2 + -1dx Add '-1ey' to each side of the equation. ax2 + ey + -1ey + f = -1cy2 + -1dx + -1ey Combine like terms: ey + -1ey = 0 ax2 + 0 + f = -1cy2 + -1dx + -1ey ax2 + f = -1cy2 + -1dx + -1ey Add '-1f' to each side of the equation. ax2 + f + -1f = -1cy2 + -1dx + -1ey + -1f Combine like terms: f + -1f = 0 ax2 + 0 = -1cy2 + -1dx + -1ey + -1f ax2 = -1cy2 + -1dx + -1ey + -1f Divide each side by 'x2'. a = -1cx-2y2 + -1dx-1 + -1ex-2y + -1fx-2 Simplifying a = -1cx-2y2 + -1dx-1 + -1ex-2y + -1fx-2
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