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Simplifying 3a + 3(1 + -1a) * a = 17 Reorder the terms for easier multiplication: 3a + 3a(1 + -1a) = 17 3a + (1 * 3a + -1a * 3a) = 17 3a + (3a + -3a2) = 17 Combine like terms: 3a + 3a = 6a 6a + -3a2 = 17 Solving 6a + -3a2 = 17 Solving for variable 'a'. Reorder the terms: -17 + 6a + -3a2 = 17 + -17 Combine like terms: 17 + -17 = 0 -17 + 6a + -3a2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 5.666666667 + -2a + a2 = 0 Move the constant term to the right: Add '-5.666666667' to each side of the equation. 5.666666667 + -2a + -5.666666667 + a2 = 0 + -5.666666667 Reorder the terms: 5.666666667 + -5.666666667 + -2a + a2 = 0 + -5.666666667 Combine like terms: 5.666666667 + -5.666666667 = 0.000000000 0.000000000 + -2a + a2 = 0 + -5.666666667 -2a + a2 = 0 + -5.666666667 Combine like terms: 0 + -5.666666667 = -5.666666667 -2a + a2 = -5.666666667 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 = -5.666666667 + 1 Reorder the terms: 1 + -2a + a2 = -5.666666667 + 1 Combine like terms: -5.666666667 + 1 = -4.666666667 1 + -2a + a2 = -4.666666667 Factor a perfect square on the left side: (a + -1)(a + -1) = -4.666666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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