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Simplifying 0.083333x2 + -2x + 32 = 0 Reorder the terms: 32 + -2x + 0.083333x2 = 0 Solving 32 + -2x + 0.083333x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.083333 the coefficient of the squared term: Divide each side by '0.083333'. 384.001536 + -24.000096x + x2 = 0 Move the constant term to the right: Add '-384.001536' to each side of the equation. 384.001536 + -24.000096x + -384.001536 + x2 = 0 + -384.001536 Reorder the terms: 384.001536 + -384.001536 + -24.000096x + x2 = 0 + -384.001536 Combine like terms: 384.001536 + -384.001536 = 0.000000 0.000000 + -24.000096x + x2 = 0 + -384.001536 -24.000096x + x2 = 0 + -384.001536 Combine like terms: 0 + -384.001536 = -384.001536 -24.000096x + x2 = -384.001536 The x term is -24.000096x. Take half its coefficient (-12.000048). Square it (144.0011520) and add it to both sides. Add '144.0011520' to each side of the equation. -24.000096x + 144.0011520 + x2 = -384.001536 + 144.0011520 Reorder the terms: 144.0011520 + -24.000096x + x2 = -384.001536 + 144.0011520 Combine like terms: -384.001536 + 144.0011520 = -240.000384 144.0011520 + -24.000096x + x2 = -240.000384 Factor a perfect square on the left side: (x + -12.000048)(x + -12.000048) = -240.000384 Can't calculate square root of the right side. The solution to this equation could not be determined.
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