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Simplifying 100x + -1x2 = 200000 Solving 100x + -1x2 = 200000 Solving for variable 'x'. Reorder the terms: -200000 + 100x + -1x2 = 200000 + -200000 Combine like terms: 200000 + -200000 = 0 -200000 + 100x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 200000 + -100x + x2 = 0 Move the constant term to the right: Add '-200000' to each side of the equation. 200000 + -100x + -200000 + x2 = 0 + -200000 Reorder the terms: 200000 + -200000 + -100x + x2 = 0 + -200000 Combine like terms: 200000 + -200000 = 0 0 + -100x + x2 = 0 + -200000 -100x + x2 = 0 + -200000 Combine like terms: 0 + -200000 = -200000 -100x + x2 = -200000 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 = -200000 + 2500 Reorder the terms: 2500 + -100x + x2 = -200000 + 2500 Combine like terms: -200000 + 2500 = -197500 2500 + -100x + x2 = -197500 Factor a perfect square on the left side: (x + -50)(x + -50) = -197500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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