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Simplifying 0.07x(18 + -1x) = 9 (18 * 0.07x + -1x * 0.07x) = 9 (1.26x + -0.07x2) = 9 Solving 1.26x + -0.07x2 = 9 Solving for variable 'x'. Reorder the terms: -9 + 1.26x + -0.07x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 1.26x + -0.07x2 = 0 Begin completing the square. Divide all terms by -0.07 the coefficient of the squared term: Divide each side by '-0.07'. 128.5714286 + -18x + x2 = 0 Move the constant term to the right: Add '-128.5714286' to each side of the equation. 128.5714286 + -18x + -128.5714286 + x2 = 0 + -128.5714286 Reorder the terms: 128.5714286 + -128.5714286 + -18x + x2 = 0 + -128.5714286 Combine like terms: 128.5714286 + -128.5714286 = 0.0000000 0.0000000 + -18x + x2 = 0 + -128.5714286 -18x + x2 = 0 + -128.5714286 Combine like terms: 0 + -128.5714286 = -128.5714286 -18x + x2 = -128.5714286 The x term is -18x. Take half its coefficient (-9). Square it (81) and add it to both sides. Add '81' to each side of the equation. -18x + 81 + x2 = -128.5714286 + 81 Reorder the terms: 81 + -18x + x2 = -128.5714286 + 81 Combine like terms: -128.5714286 + 81 = -47.5714286 81 + -18x + x2 = -47.5714286 Factor a perfect square on the left side: (x + -9)(x + -9) = -47.5714286 Can't calculate square root of the right side. The solution to this equation could not be determined.
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