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Simplifying 30a2 + -13a + 3 = 0 Reorder the terms: 3 + -13a + 30a2 = 0 Solving 3 + -13a + 30a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 30 the coefficient of the squared term: Divide each side by '30'. 0.1 + -0.4333333333a + a2 = 0 Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + -0.4333333333a + -0.1 + a2 = 0 + -0.1 Reorder the terms: 0.1 + -0.1 + -0.4333333333a + a2 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.4333333333a + a2 = 0 + -0.1 -0.4333333333a + a2 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 -0.4333333333a + a2 = -0.1 The a term is -0.4333333333a. Take half its coefficient (-0.2166666667). Square it (0.04694444446) and add it to both sides. Add '0.04694444446' to each side of the equation. -0.4333333333a + 0.04694444446 + a2 = -0.1 + 0.04694444446 Reorder the terms: 0.04694444446 + -0.4333333333a + a2 = -0.1 + 0.04694444446 Combine like terms: -0.1 + 0.04694444446 = -0.05305555554 0.04694444446 + -0.4333333333a + a2 = -0.05305555554 Factor a perfect square on the left side: (a + -0.2166666667)(a + -0.2166666667) = -0.05305555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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