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Simplifying 0.07x + 0.05x(6 + -1x) = 0.10(55) 0.07x + (6 * 0.05x + -1x * 0.05x) = 0.10(55) 0.07x + (0.3x + -0.05x2) = 0.10(55) Combine like terms: 0.07x + 0.3x = 0.37x 0.37x + -0.05x2 = 0.10(55) Multiply 0.10 * 55 0.37x + -0.05x2 = 5.5 Solving 0.37x + -0.05x2 = 5.5 Solving for variable 'x'. Reorder the terms: -5.5 + 0.37x + -0.05x2 = 5.5 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 -5.5 + 0.37x + -0.05x2 = 0.0 Begin completing the square. Divide all terms by -0.05 the coefficient of the squared term: Divide each side by '-0.05'. 110 + -7.4x + x2 = 0 Move the constant term to the right: Add '-110' to each side of the equation. 110 + -7.4x + -110 + x2 = 0 + -110 Reorder the terms: 110 + -110 + -7.4x + x2 = 0 + -110 Combine like terms: 110 + -110 = 0 0 + -7.4x + x2 = 0 + -110 -7.4x + x2 = 0 + -110 Combine like terms: 0 + -110 = -110 -7.4x + x2 = -110 The x term is -7.4x. Take half its coefficient (-3.7). Square it (13.69) and add it to both sides. Add '13.69' to each side of the equation. -7.4x + 13.69 + x2 = -110 + 13.69 Reorder the terms: 13.69 + -7.4x + x2 = -110 + 13.69 Combine like terms: -110 + 13.69 = -96.31 13.69 + -7.4x + x2 = -96.31 Factor a perfect square on the left side: (x + -3.7)(x + -3.7) = -96.31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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