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Simplifying -0.01x2 + 1x + -41 = 0 Reorder the terms: -41 + 1x + -0.01x2 = 0 Solving -41 + 1x + -0.01x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -0.01 the coefficient of the squared term: Divide each side by '-0.01'. 4100 + -100x + x2 = 0 Move the constant term to the right: Add '-4100' to each side of the equation. 4100 + -100x + -4100 + x2 = 0 + -4100 Reorder the terms: 4100 + -4100 + -100x + x2 = 0 + -4100 Combine like terms: 4100 + -4100 = 0 0 + -100x + x2 = 0 + -4100 -100x + x2 = 0 + -4100 Combine like terms: 0 + -4100 = -4100 -100x + x2 = -4100 The x term is -100x. Take half its coefficient (-50). Square it (2500) and add it to both sides. Add '2500' to each side of the equation. -100x + 2500 + x2 = -4100 + 2500 Reorder the terms: 2500 + -100x + x2 = -4100 + 2500 Combine like terms: -4100 + 2500 = -1600 2500 + -100x + x2 = -1600 Factor a perfect square on the left side: (x + -50)(x + -50) = -1600 Can't calculate square root of the right side. The solution to this equation could not be determined.
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