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Simplifying 40x2 + -1x + 4000 = 0 Reorder the terms: 4000 + -1x + 40x2 = 0 Solving 4000 + -1x + 40x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 40 the coefficient of the squared term: Divide each side by '40'. 100 + -0.025x + x2 = 0 Move the constant term to the right: Add '-100' to each side of the equation. 100 + -0.025x + -100 + x2 = 0 + -100 Reorder the terms: 100 + -100 + -0.025x + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -0.025x + x2 = 0 + -100 -0.025x + x2 = 0 + -100 Combine like terms: 0 + -100 = -100 -0.025x + x2 = -100 The x term is -0.025x. Take half its coefficient (-0.0125). Square it (0.00015625) and add it to both sides. Add '0.00015625' to each side of the equation. -0.025x + 0.00015625 + x2 = -100 + 0.00015625 Reorder the terms: 0.00015625 + -0.025x + x2 = -100 + 0.00015625 Combine like terms: -100 + 0.00015625 = -99.99984375 0.00015625 + -0.025x + x2 = -99.99984375 Factor a perfect square on the left side: (x + -0.0125)(x + -0.0125) = -99.99984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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