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Simplifying 0.167x2 + 3 = x Reorder the terms: 3 + 0.167x2 = x Solving 3 + 0.167x2 = x Solving for variable 'x'. Reorder the terms: 3 + -1x + 0.167x2 = x + -1x Combine like terms: x + -1x = 0 3 + -1x + 0.167x2 = 0 Begin completing the square. Divide all terms by 0.167 the coefficient of the squared term: Divide each side by '0.167'. 17.96407186 + -5.988023952x + x2 = 0 Move the constant term to the right: Add '-17.96407186' to each side of the equation. 17.96407186 + -5.988023952x + -17.96407186 + x2 = 0 + -17.96407186 Reorder the terms: 17.96407186 + -17.96407186 + -5.988023952x + x2 = 0 + -17.96407186 Combine like terms: 17.96407186 + -17.96407186 = 0.00000000 0.00000000 + -5.988023952x + x2 = 0 + -17.96407186 -5.988023952x + x2 = 0 + -17.96407186 Combine like terms: 0 + -17.96407186 = -17.96407186 -5.988023952x + x2 = -17.96407186 The x term is -5.988023952x. Take half its coefficient (-2.994011976). Square it (8.964107712) and add it to both sides. Add '8.964107712' to each side of the equation. -5.988023952x + 8.964107712 + x2 = -17.96407186 + 8.964107712 Reorder the terms: 8.964107712 + -5.988023952x + x2 = -17.96407186 + 8.964107712 Combine like terms: -17.96407186 + 8.964107712 = -8.999964148 8.964107712 + -5.988023952x + x2 = -8.999964148 Factor a perfect square on the left side: (x + -2.994011976)(x + -2.994011976) = -8.999964148 Can't calculate square root of the right side. The solution to this equation could not be determined.
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