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Simplifying 42a2 + -13a + 42 = 0 Reorder the terms: 42 + -13a + 42a2 = 0 Solving 42 + -13a + 42a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 42 the coefficient of the squared term: Divide each side by '42'. 1 + -0.3095238095a + a2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.3095238095a + -1 + a2 = 0 + -1 Reorder the terms: 1 + -1 + -0.3095238095a + a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.3095238095a + a2 = 0 + -1 -0.3095238095a + a2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.3095238095a + a2 = -1 The a term is -0.3095238095a. Take half its coefficient (-0.1547619048). Square it (0.02395124718) and add it to both sides. Add '0.02395124718' to each side of the equation. -0.3095238095a + 0.02395124718 + a2 = -1 + 0.02395124718 Reorder the terms: 0.02395124718 + -0.3095238095a + a2 = -1 + 0.02395124718 Combine like terms: -1 + 0.02395124718 = -0.97604875282 0.02395124718 + -0.3095238095a + a2 = -0.97604875282 Factor a perfect square on the left side: (a + -0.1547619048)(a + -0.1547619048) = -0.97604875282 Can't calculate square root of the right side. The solution to this equation could not be determined.
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