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Simplifying 13 = 0.01x2 + -1x + 30 Reorder the terms: 13 = 30 + -1x + 0.01x2 Solving 13 = 30 + -1x + 0.01x2 Solving for variable 'x'. Combine like terms: 13 + -30 = -17 -17 + x + -0.01x2 = 30 + -1x + 0.01x2 + -30 + x + -0.01x2 Reorder the terms: -17 + x + -0.01x2 = 30 + -30 + -1x + x + 0.01x2 + -0.01x2 Combine like terms: 30 + -30 = 0 -17 + x + -0.01x2 = 0 + -1x + x + 0.01x2 + -0.01x2 -17 + x + -0.01x2 = -1x + x + 0.01x2 + -0.01x2 Combine like terms: -1x + x = 0 -17 + x + -0.01x2 = 0 + 0.01x2 + -0.01x2 -17 + x + -0.01x2 = 0.01x2 + -0.01x2 Combine like terms: 0.01x2 + -0.01x2 = 0.00 -17 + x + -0.01x2 = 0.00 Begin completing the square. Divide all terms by -0.01 the coefficient of the squared term: Divide each side by '-0.01'. 1700 + -100x + x2 = 0 Move the constant term to the right: Add '-1700' to each side of the equation. 1700 + -100x + -1700 + x2 = 0 + -1700 Reorder the terms: 1700 + -1700 + -100x + x2 = 0 + -1700 Combine like terms: 1700 + -1700 = 0 0 + -100x + x2 = 0 + -1700 -100x + x2 = 0 + -1700 Combine like terms: 0 + -1700 = -1700 -100x + x2 = -1700 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -100x + 0.25 + x2 = -1700 + 0.25 Reorder the terms: 0.25 + -100x + x2 = -1700 + 0.25 Combine like terms: -1700 + 0.25 = -1699.75 0.25 + -100x + x2 = -1699.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1699.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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