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Simplifying 100x + -1x2 = 10000 Solving 100x + -1x2 = 10000 Solving for variable 'x'. Reorder the terms: -10000 + 100x + -1x2 = 10000 + -10000 Combine like terms: 10000 + -10000 = 0 -10000 + 100x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 10000 + -100x + x2 = 0 Move the constant term to the right: Add '-10000' to each side of the equation. 10000 + -100x + -10000 + x2 = 0 + -10000 Reorder the terms: 10000 + -10000 + -100x + x2 = 0 + -10000 Combine like terms: 10000 + -10000 = 0 0 + -100x + x2 = 0 + -10000 -100x + x2 = 0 + -10000 Combine like terms: 0 + -10000 = -10000 -100x + x2 = -10000 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 = -10000 + 2500 Reorder the terms: 2500 + -100x + x2 = -10000 + 2500 Combine like terms: -10000 + 2500 = -7500 2500 + -100x + x2 = -7500 Factor a perfect square on the left side: (x + -50)(x + -50) = -7500 Can't calculate square root of the right side. The solution to this equation could not be determined.
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