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Simplifying abcx2 + -1(a2b2 + c2) * x + ABC = 0 Reorder the terms for easier multiplication: abcx2 + -1x(a2b2 + c2) + ABC = 0 abcx2 + (a2b2 * -1x + c2 * -1x) + ABC = 0 abcx2 + (-1a2b2x + -1c2x) + ABC = 0 Reorder the terms: ABC + abcx2 + -1a2b2x + -1c2x = 0 Solving ABC + abcx2 + -1a2b2x + -1c2x = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-1abcx2' to each side of the equation. ABC + abcx2 + -1a2b2x + -1abcx2 + -1c2x = 0 + -1abcx2 Reorder the terms: ABC + abcx2 + -1abcx2 + -1a2b2x + -1c2x = 0 + -1abcx2 Combine like terms: abcx2 + -1abcx2 = 0 ABC + 0 + -1a2b2x + -1c2x = 0 + -1abcx2 ABC + -1a2b2x + -1c2x = 0 + -1abcx2 Remove the zero: ABC + -1a2b2x + -1c2x = -1abcx2 Add 'a2b2x' to each side of the equation. ABC + -1a2b2x + a2b2x + -1c2x = -1abcx2 + a2b2x Combine like terms: -1a2b2x + a2b2x = 0 ABC + 0 + -1c2x = -1abcx2 + a2b2x ABC + -1c2x = -1abcx2 + a2b2x Add 'c2x' to each side of the equation. ABC + -1c2x + c2x = -1abcx2 + a2b2x + c2x Combine like terms: -1c2x + c2x = 0 ABC + 0 = -1abcx2 + a2b2x + c2x ABC = -1abcx2 + a2b2x + c2x Divide each side by 'BC'. A = -1abcx2B-1C-1 + a2b2xB-1C-1 + c2xB-1C-1 Simplifying A = -1abcx2B-1C-1 + a2b2xB-1C-1 + c2xB-1C-1
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