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Simplifying 0.1x + -0.05x(x + -20) = 12 Reorder the terms: 0.1x + -0.05x(-20 + x) = 12 0.1x + (-20 * -0.05x + x * -0.05x) = 12 0.1x + (1x + -0.05x2) = 12 Combine like terms: 0.1x + 1x = 1.1x 1.1x + -0.05x2 = 12 Solving 1.1x + -0.05x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + 1.1x + -0.05x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 1.1x + -0.05x2 = 0 Begin completing the square. Divide all terms by -0.05 the coefficient of the squared term: Divide each side by '-0.05'. 240 + -22x + x2 = 0 Move the constant term to the right: Add '-240' to each side of the equation. 240 + -22x + -240 + x2 = 0 + -240 Reorder the terms: 240 + -240 + -22x + x2 = 0 + -240 Combine like terms: 240 + -240 = 0 0 + -22x + x2 = 0 + -240 -22x + x2 = 0 + -240 Combine like terms: 0 + -240 = -240 -22x + x2 = -240 The x term is -22x. Take half its coefficient (-11). Square it (121) and add it to both sides. Add '121' to each side of the equation. -22x + 121 + x2 = -240 + 121 Reorder the terms: 121 + -22x + x2 = -240 + 121 Combine like terms: -240 + 121 = -119 121 + -22x + x2 = -119 Factor a perfect square on the left side: (x + -11)(x + -11) = -119 Can't calculate square root of the right side. The solution to this equation could not be determined.
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