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Simplifying 24x2 + 80x + 171 = 0 Reorder the terms: 171 + 80x + 24x2 = 0 Solving 171 + 80x + 24x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 7.125 + 3.333333333x + x2 = 0 Move the constant term to the right: Add '-7.125' to each side of the equation. 7.125 + 3.333333333x + -7.125 + x2 = 0 + -7.125 Reorder the terms: 7.125 + -7.125 + 3.333333333x + x2 = 0 + -7.125 Combine like terms: 7.125 + -7.125 = 0.000 0.000 + 3.333333333x + x2 = 0 + -7.125 3.333333333x + x2 = 0 + -7.125 Combine like terms: 0 + -7.125 = -7.125 3.333333333x + x2 = -7.125 The x term is 3.333333333x. Take half its coefficient (1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. 3.333333333x + 2.777777779 + x2 = -7.125 + 2.777777779 Reorder the terms: 2.777777779 + 3.333333333x + x2 = -7.125 + 2.777777779 Combine like terms: -7.125 + 2.777777779 = -4.347222221 2.777777779 + 3.333333333x + x2 = -4.347222221 Factor a perfect square on the left side: (x + 1.666666667)(x + 1.666666667) = -4.347222221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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