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Simplifying 100x + -1x2 = 3500 Solving 100x + -1x2 = 3500 Solving for variable 'x'. Reorder the terms: -3500 + 100x + -1x2 = 3500 + -3500 Combine like terms: 3500 + -3500 = 0 -3500 + 100x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 3500 + -100x + x2 = 0 Move the constant term to the right: Add '-3500' to each side of the equation. 3500 + -100x + -3500 + x2 = 0 + -3500 Reorder the terms: 3500 + -3500 + -100x + x2 = 0 + -3500 Combine like terms: 3500 + -3500 = 0 0 + -100x + x2 = 0 + -3500 -100x + x2 = 0 + -3500 Combine like terms: 0 + -3500 = -3500 -100x + x2 = -3500 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 = -3500 + 2500 Reorder the terms: 2500 + -100x + x2 = -3500 + 2500 Combine like terms: -3500 + 2500 = -1000 2500 + -100x + x2 = -1000 Factor a perfect square on the left side: (x + -50)(x + -50) = -1000 Can't calculate square root of the right side. The solution to this equation could not be determined.
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