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Simplifying 3a = (3a2) + 4 Reorder the terms: 3a = 4 + (3a2) Solving 3a = 4 + (3a2) Solving for variable 'a'. Reorder the terms: -4 + 3a + (-3a2) = 4 + (3a2) + -4 + (-3a2) Reorder the terms: -4 + 3a + (-3a2) = 4 + -4 + (3a2) + (-3a2) Combine like terms: 4 + -4 = 0 -4 + 3a + (-3a2) = 0 + (3a2) + (-3a2) -4 + 3a + (-3a2) = (3a2) + (-3a2) Combine like terms: (3a2) + (-3a2) = 0 -4 + 3a + (-3a2) = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 1.333333333 + -1a + a2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + -1a + -1.333333333 + a2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + -1a + a2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + -1a + a2 = 0 + -1.333333333 -1a + a2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 -1a + a2 = -1.333333333 The a term is -1a. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1a + 0.25 + a2 = -1.333333333 + 0.25 Reorder the terms: 0.25 + -1a + a2 = -1.333333333 + 0.25 Combine like terms: -1.333333333 + 0.25 = -1.083333333 0.25 + -1a + a2 = -1.083333333 Factor a perfect square on the left side: ((a) + -0.5)((a) + -0.5) = -1.083333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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