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Simplifying 13a2 + -4a + 10 = 0 Reorder the terms: 10 + -4a + 13a2 = 0 Solving 10 + -4a + 13a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.7692307692 + -0.3076923077a + a2 = 0 Move the constant term to the right: Add '-0.7692307692' to each side of the equation. 0.7692307692 + -0.3076923077a + -0.7692307692 + a2 = 0 + -0.7692307692 Reorder the terms: 0.7692307692 + -0.7692307692 + -0.3076923077a + a2 = 0 + -0.7692307692 Combine like terms: 0.7692307692 + -0.7692307692 = 0.0000000000 0.0000000000 + -0.3076923077a + a2 = 0 + -0.7692307692 -0.3076923077a + a2 = 0 + -0.7692307692 Combine like terms: 0 + -0.7692307692 = -0.7692307692 -0.3076923077a + a2 = -0.7692307692 The a term is -0.3076923077a. Take half its coefficient (-0.1538461539). Square it (0.02366863907) and add it to both sides. Add '0.02366863907' to each side of the equation. -0.3076923077a + 0.02366863907 + a2 = -0.7692307692 + 0.02366863907 Reorder the terms: 0.02366863907 + -0.3076923077a + a2 = -0.7692307692 + 0.02366863907 Combine like terms: -0.7692307692 + 0.02366863907 = -0.74556213013 0.02366863907 + -0.3076923077a + a2 = -0.74556213013 Factor a perfect square on the left side: (a + -0.1538461539)(a + -0.1538461539) = -0.74556213013 Can't calculate square root of the right side. The solution to this equation could not be determined.
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