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Simplifying -7.8x2 + 12.84x + -18500 = 0 Reorder the terms: -18500 + 12.84x + -7.8x2 = 0 Solving -18500 + 12.84x + -7.8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -7.8 the coefficient of the squared term: Divide each side by '-7.8'. 2371.794872 + -1.646153846x + x2 = 0 Move the constant term to the right: Add '-2371.794872' to each side of the equation. 2371.794872 + -1.646153846x + -2371.794872 + x2 = 0 + -2371.794872 Reorder the terms: 2371.794872 + -2371.794872 + -1.646153846x + x2 = 0 + -2371.794872 Combine like terms: 2371.794872 + -2371.794872 = 0.000000 0.000000 + -1.646153846x + x2 = 0 + -2371.794872 -1.646153846x + x2 = 0 + -2371.794872 Combine like terms: 0 + -2371.794872 = -2371.794872 -1.646153846x + x2 = -2371.794872 The x term is -1.646153846x. Take half its coefficient (-0.823076923). Square it (0.6774556212) and add it to both sides. Add '0.6774556212' to each side of the equation. -1.646153846x + 0.6774556212 + x2 = -2371.794872 + 0.6774556212 Reorder the terms: 0.6774556212 + -1.646153846x + x2 = -2371.794872 + 0.6774556212 Combine like terms: -2371.794872 + 0.6774556212 = -2371.1174163788 0.6774556212 + -1.646153846x + x2 = -2371.1174163788 Factor a perfect square on the left side: (x + -0.823076923)(x + -0.823076923) = -2371.1174163788 Can't calculate square root of the right side. The solution to this equation could not be determined.
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