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Simplifying 0 = 0.0006x2 + -0.0092x + 0.9319 Reorder the terms: 0 = 0.9319 + -0.0092x + 0.0006x2 Solving 0 = 0.9319 + -0.0092x + 0.0006x2 Solving for variable 'x'. Combine like terms: 0 + -0.9319 = -0.9319 -0.9319 + 0.0092x + -0.0006x2 = 0.9319 + -0.0092x + 0.0006x2 + -0.9319 + 0.0092x + -0.0006x2 Reorder the terms: -0.9319 + 0.0092x + -0.0006x2 = 0.9319 + -0.9319 + -0.0092x + 0.0092x + 0.0006x2 + -0.0006x2 Combine like terms: 0.9319 + -0.9319 = 0.0000 -0.9319 + 0.0092x + -0.0006x2 = 0.0000 + -0.0092x + 0.0092x + 0.0006x2 + -0.0006x2 -0.9319 + 0.0092x + -0.0006x2 = -0.0092x + 0.0092x + 0.0006x2 + -0.0006x2 Combine like terms: -0.0092x + 0.0092x = 0.0000 -0.9319 + 0.0092x + -0.0006x2 = 0.0000 + 0.0006x2 + -0.0006x2 -0.9319 + 0.0092x + -0.0006x2 = 0.0006x2 + -0.0006x2 Combine like terms: 0.0006x2 + -0.0006x2 = 0.0000 -0.9319 + 0.0092x + -0.0006x2 = 0.0000 Begin completing the square. Divide all terms by -0.0006 the coefficient of the squared term: Divide each side by '-0.0006'. 1553.166667 + -15.33333333x + x2 = 0 Move the constant term to the right: Add '-1553.166667' to each side of the equation. 1553.166667 + -15.33333333x + -1553.166667 + x2 = 0 + -1553.166667 Reorder the terms: 1553.166667 + -1553.166667 + -15.33333333x + x2 = 0 + -1553.166667 Combine like terms: 1553.166667 + -1553.166667 = 0.000000 0.000000 + -15.33333333x + x2 = 0 + -1553.166667 -15.33333333x + x2 = 0 + -1553.166667 Combine like terms: 0 + -1553.166667 = -1553.166667 -15.33333333x + x2 = -1553.166667 The x term is -15.33333333x. Take half its coefficient (-7.666666665). Square it (58.77777775) and add it to both sides. Add '58.77777775' to each side of the equation. -15.33333333x + 58.77777775 + x2 = -1553.166667 + 58.77777775 Reorder the terms: 58.77777775 + -15.33333333x + x2 = -1553.166667 + 58.77777775 Combine like terms: -1553.166667 + 58.77777775 = -1494.38888925 58.77777775 + -15.33333333x + x2 = -1494.38888925 Factor a perfect square on the left side: (x + -7.666666665)(x + -7.666666665) = -1494.38888925 Can't calculate square root of the right side. The solution to this equation could not be determined.
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