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Simplifying a(x * a) = b(x + -1b) Multiply x * a a(ax) = b(x + -1b) Multiply a * ax a^{2}x = b(x + -1b) Reorder the terms: a^{2}x = b(-1b + x) a^{2}x = (-1b * b + x * b) Reorder the terms: a^{2}x = (bx + -1b^{2}) a^{2}x = (bx + -1b^{2}) Solving a^{2}x = bx + -1b^{2}Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by 'x'. a^{2}= b + -1b^{2}x^{-1}Simplifying a^{2}= b + -1b^{2}x^{-1}Reorder the terms: a^{2}+ -1b + b^{2}x^{-1}= b + -1b + -1b^{2}x^{-1}+ b^{2}x^{-1}Combine like terms: b + -1b = 0 a^{2}+ -1b + b^{2}x^{-1}= 0 + -1b^{2}x^{-1}+ b^{2}x^{-1}a^{2}+ -1b + b^{2}x^{-1}= -1b^{2}x^{-1}+ b^{2}x^{-1}Combine like terms: -1b^{2}x^{-1}+ b^{2}x^{-1}= 0 a^{2}+ -1b + b^{2}x^{-1}= 0 The solution to this equation could not be determined.

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