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Simplifying 6a + -1a2 = 48 Solving 6a + -1a2 = 48 Solving for variable 'a'. Reorder the terms: -48 + 6a + -1a2 = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + 6a + -1a2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 48 + -6a + a2 = 0 Move the constant term to the right: Add '-48' to each side of the equation. 48 + -6a + -48 + a2 = 0 + -48 Reorder the terms: 48 + -48 + -6a + a2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -6a + a2 = 0 + -48 -6a + a2 = 0 + -48 Combine like terms: 0 + -48 = -48 -6a + a2 = -48 The a term is -6a. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6a + 9 + a2 = -48 + 9 Reorder the terms: 9 + -6a + a2 = -48 + 9 Combine like terms: -48 + 9 = -39 9 + -6a + a2 = -39 Factor a perfect square on the left side: (a + -3)(a + -3) = -39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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