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Simplifying 3.25 = 0.01x2 + -1x + 28 Reorder the terms: 3.25 = 28 + -1x + 0.01x2 Solving 3.25 = 28 + -1x + 0.01x2 Solving for variable 'x'. Combine like terms: 3.25 + -28 = -24.75 -24.75 + x + -0.01x2 = 28 + -1x + 0.01x2 + -28 + x + -0.01x2 Reorder the terms: -24.75 + x + -0.01x2 = 28 + -28 + -1x + x + 0.01x2 + -0.01x2 Combine like terms: 28 + -28 = 0 -24.75 + x + -0.01x2 = 0 + -1x + x + 0.01x2 + -0.01x2 -24.75 + x + -0.01x2 = -1x + x + 0.01x2 + -0.01x2 Combine like terms: -1x + x = 0 -24.75 + x + -0.01x2 = 0 + 0.01x2 + -0.01x2 -24.75 + x + -0.01x2 = 0.01x2 + -0.01x2 Combine like terms: 0.01x2 + -0.01x2 = 0.00 -24.75 + 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'. 2475 + -100x + x2 = 0 Move the constant term to the right: Add '-2475' to each side of the equation. 2475 + -100x + -2475 + x2 = 0 + -2475 Reorder the terms: 2475 + -2475 + -100x + x2 = 0 + -2475 Combine like terms: 2475 + -2475 = 0 0 + -100x + x2 = 0 + -2475 -100x + x2 = 0 + -2475 Combine like terms: 0 + -2475 = -2475 -100x + x2 = -2475 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 = -2475 + 0.25 Reorder the terms: 0.25 + -100x + x2 = -2475 + 0.25 Combine like terms: -2475 + 0.25 = -2474.75 0.25 + -100x + x2 = -2474.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -2474.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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