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Simplifying 0 = x2 + -20x + 9900 Reorder the terms: 0 = 9900 + -20x + x2 Solving 0 = 9900 + -20x + x2 Solving for variable 'x'. Combine like terms: 0 + -9900 = -9900 -9900 + 20x + -1x2 = 9900 + -20x + x2 + -9900 + 20x + -1x2 Reorder the terms: -9900 + 20x + -1x2 = 9900 + -9900 + -20x + 20x + x2 + -1x2 Combine like terms: 9900 + -9900 = 0 -9900 + 20x + -1x2 = 0 + -20x + 20x + x2 + -1x2 -9900 + 20x + -1x2 = -20x + 20x + x2 + -1x2 Combine like terms: -20x + 20x = 0 -9900 + 20x + -1x2 = 0 + x2 + -1x2 -9900 + 20x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9900 + 20x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 9900 + -20x + x2 = 0 Move the constant term to the right: Add '-9900' to each side of the equation. 9900 + -20x + -9900 + x2 = 0 + -9900 Reorder the terms: 9900 + -9900 + -20x + x2 = 0 + -9900 Combine like terms: 9900 + -9900 = 0 0 + -20x + x2 = 0 + -9900 -20x + x2 = 0 + -9900 Combine like terms: 0 + -9900 = -9900 -20x + x2 = -9900 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -9900 + 100 Reorder the terms: 100 + -20x + x2 = -9900 + 100 Combine like terms: -9900 + 100 = -9800 100 + -20x + x2 = -9800 Factor a perfect square on the left side: (x + -10)(x + -10) = -9800 Can't calculate square root of the right side. The solution to this equation could not be determined.
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