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Simplifying (91a2 + -9a + -10) + -1(173a2 + -47a + 8) = 297 Reorder the terms: (-10 + -9a + 91a2) + -1(173a2 + -47a + 8) = 297 Remove parenthesis around (-10 + -9a + 91a2) -10 + -9a + 91a2 + -1(173a2 + -47a + 8) = 297 Reorder the terms: -10 + -9a + 91a2 + -1(8 + -47a + 173a2) = 297 -10 + -9a + 91a2 + (8 * -1 + -47a * -1 + 173a2 * -1) = 297 -10 + -9a + 91a2 + (-8 + 47a + -173a2) = 297 Reorder the terms: -10 + -8 + -9a + 47a + 91a2 + -173a2 = 297 Combine like terms: -10 + -8 = -18 -18 + -9a + 47a + 91a2 + -173a2 = 297 Combine like terms: -9a + 47a = 38a -18 + 38a + 91a2 + -173a2 = 297 Combine like terms: 91a2 + -173a2 = -82a2 -18 + 38a + -82a2 = 297 Solving -18 + 38a + -82a2 = 297 Solving for variable 'a'. Reorder the terms: -18 + -297 + 38a + -82a2 = 297 + -297 Combine like terms: -18 + -297 = -315 -315 + 38a + -82a2 = 297 + -297 Combine like terms: 297 + -297 = 0 -315 + 38a + -82a2 = 0 Begin completing the square. Divide all terms by -82 the coefficient of the squared term: Divide each side by '-82'. 3.841463415 + -0.4634146341a + a2 = 0 Move the constant term to the right: Add '-3.841463415' to each side of the equation. 3.841463415 + -0.4634146341a + -3.841463415 + a2 = 0 + -3.841463415 Reorder the terms: 3.841463415 + -3.841463415 + -0.4634146341a + a2 = 0 + -3.841463415 Combine like terms: 3.841463415 + -3.841463415 = 0.000000000 0.000000000 + -0.4634146341a + a2 = 0 + -3.841463415 -0.4634146341a + a2 = 0 + -3.841463415 Combine like terms: 0 + -3.841463415 = -3.841463415 -0.4634146341a + a2 = -3.841463415 The a term is -0.4634146341a. Take half its coefficient (-0.2317073171). Square it (0.05368828080) and add it to both sides. Add '0.05368828080' to each side of the equation. -0.4634146341a + 0.05368828080 + a2 = -3.841463415 + 0.05368828080 Reorder the terms: 0.05368828080 + -0.4634146341a + a2 = -3.841463415 + 0.05368828080 Combine like terms: -3.841463415 + 0.05368828080 = -3.7877751342 0.05368828080 + -0.4634146341a + a2 = -3.7877751342 Factor a perfect square on the left side: (a + -0.2317073171)(a + -0.2317073171) = -3.7877751342 Can't calculate square root of the right side. The solution to this equation could not be determined.
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