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Simplifying a(253.98 + 184a) + -678 + -7 + -1a + 74(122)(37) = 3 (253.98 * a + 184a * a) + -678 + -7 + -1a + 74(122)(37) = 3 (253.98a + 184a2) + -678 + -7 + -1a + 74(122)(37) = 3 Multiply 74 * 122 253.98a + 184a2 + -678 + -7 + -1a + 9028 * 37 = 3 Multiply 9028 * 37 253.98a + 184a2 + -678 + -7 + -1a + 334036 = 3 Reorder the terms: -678 + -7 + 334036 + 253.98a + -1a + 184a2 = 3 Combine like terms: -678 + -7 = -685 -685 + 334036 + 253.98a + -1a + 184a2 = 3 Combine like terms: -685 + 334036 = 333351 333351 + 253.98a + -1a + 184a2 = 3 Combine like terms: 253.98a + -1a = 252.98a 333351 + 252.98a + 184a2 = 3 Solving 333351 + 252.98a + 184a2 = 3 Solving for variable 'a'. Reorder the terms: 333351 + -3 + 252.98a + 184a2 = 3 + -3 Combine like terms: 333351 + -3 = 333348 333348 + 252.98a + 184a2 = 3 + -3 Combine like terms: 3 + -3 = 0 333348 + 252.98a + 184a2 = 0 Begin completing the square. Divide all terms by 184 the coefficient of the squared term: Divide each side by '184'. 1811.673913 + 1.374891304a + a2 = 0 Move the constant term to the right: Add '-1811.673913' to each side of the equation. 1811.673913 + 1.374891304a + -1811.673913 + a2 = 0 + -1811.673913 Reorder the terms: 1811.673913 + -1811.673913 + 1.374891304a + a2 = 0 + -1811.673913 Combine like terms: 1811.673913 + -1811.673913 = 0.000000 0.000000 + 1.374891304a + a2 = 0 + -1811.673913 1.374891304a + a2 = 0 + -1811.673913 Combine like terms: 0 + -1811.673913 = -1811.673913 1.374891304a + a2 = -1811.673913 The a term is 1.374891304a. Take half its coefficient (0.687445652). Square it (0.4725815245) and add it to both sides. Add '0.4725815245' to each side of the equation. 1.374891304a + 0.4725815245 + a2 = -1811.673913 + 0.4725815245 Reorder the terms: 0.4725815245 + 1.374891304a + a2 = -1811.673913 + 0.4725815245 Combine like terms: -1811.673913 + 0.4725815245 = -1811.2013314755 0.4725815245 + 1.374891304a + a2 = -1811.2013314755 Factor a perfect square on the left side: (a + 0.687445652)(a + 0.687445652) = -1811.2013314755 Can't calculate square root of the right side. The solution to this equation could not be determined.
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