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Simplifying a * 2 = (a2) + 99 Reorder the terms for easier multiplication: 2a = (a2) + 99 2a = a2 + 99 Reorder the terms: 2a = 99 + a2 Solving 2a = 99 + a2 Solving for variable 'a'. Reorder the terms: -99 + 2a + -1a2 = 99 + a2 + -99 + -1a2 Reorder the terms: -99 + 2a + -1a2 = 99 + -99 + a2 + -1a2 Combine like terms: 99 + -99 = 0 -99 + 2a + -1a2 = 0 + a2 + -1a2 -99 + 2a + -1a2 = a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -99 + 2a + -1a2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 99 + -2a + a2 = 0 Move the constant term to the right: Add '-99' to each side of the equation. 99 + -2a + -99 + a2 = 0 + -99 Reorder the terms: 99 + -99 + -2a + a2 = 0 + -99 Combine like terms: 99 + -99 = 0 0 + -2a + a2 = 0 + -99 -2a + a2 = 0 + -99 Combine like terms: 0 + -99 = -99 -2a + a2 = -99 The a term is -2a. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2a + 1 + a2 = -99 + 1 Reorder the terms: 1 + -2a + a2 = -99 + 1 Combine like terms: -99 + 1 = -98 1 + -2a + a2 = -98 Factor a perfect square on the left side: (a + -1)(a + -1) = -98 Can't calculate square root of the right side. The solution to this equation could not be determined.
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