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Simplifying 0.70x + 0.05x(6 + -1x) = 0.10(55) 0.70x + (6 * 0.05x + -1x * 0.05x) = 0.10(55) 0.70x + (0.3x + -0.05x2) = 0.10(55) Combine like terms: 0.70x + 0.3x = 1x 1x + -0.05x2 = 0.10(55) Multiply 0.10 * 55 1x + -0.05x2 = 5.5 Solving 1x + -0.05x2 = 5.5 Solving for variable 'x'. Reorder the terms: -5.5 + 1x + -0.05x2 = 5.5 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 -5.5 + 1x + -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 + -20x + x2 = 0 Move the constant term to the right: Add '-110' to each side of the equation. 110 + -20x + -110 + x2 = 0 + -110 Reorder the terms: 110 + -110 + -20x + x2 = 0 + -110 Combine like terms: 110 + -110 = 0 0 + -20x + x2 = 0 + -110 -20x + x2 = 0 + -110 Combine like terms: 0 + -110 = -110 -20x + x2 = -110 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 = -110 + 100 Reorder the terms: 100 + -20x + x2 = -110 + 100 Combine like terms: -110 + 100 = -10 100 + -20x + x2 = -10 Factor a perfect square on the left side: (x + -10)(x + -10) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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