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Simplifying 0.24x2 + -0.5x + 2 = 0 Reorder the terms: 2 + -0.5x + 0.24x2 = 0 Solving 2 + -0.5x + 0.24x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.24 the coefficient of the squared term: Divide each side by '0.24'. 8.333333333 + -2.083333333x + x2 = 0 Move the constant term to the right: Add '-8.333333333' to each side of the equation. 8.333333333 + -2.083333333x + -8.333333333 + x2 = 0 + -8.333333333 Reorder the terms: 8.333333333 + -8.333333333 + -2.083333333x + x2 = 0 + -8.333333333 Combine like terms: 8.333333333 + -8.333333333 = 0.000000000 0.000000000 + -2.083333333x + x2 = 0 + -8.333333333 -2.083333333x + x2 = 0 + -8.333333333 Combine like terms: 0 + -8.333333333 = -8.333333333 -2.083333333x + x2 = -8.333333333 The x term is -2.083333333x. Take half its coefficient (-1.041666667). Square it (1.085069445) and add it to both sides. Add '1.085069445' to each side of the equation. -2.083333333x + 1.085069445 + x2 = -8.333333333 + 1.085069445 Reorder the terms: 1.085069445 + -2.083333333x + x2 = -8.333333333 + 1.085069445 Combine like terms: -8.333333333 + 1.085069445 = -7.248263888 1.085069445 + -2.083333333x + x2 = -7.248263888 Factor a perfect square on the left side: (x + -1.041666667)(x + -1.041666667) = -7.248263888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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