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Simplifying -0.10(11) + 0.30x = 0.05x(x + -2) Multiply -0.10 * 11 -1.1 + 0.30x = 0.05x(x + -2) Reorder the terms: -1.1 + 0.30x = 0.05x(-2 + x) -1.1 + 0.30x = (-2 * 0.05x + x * 0.05x) -1.1 + 0.30x = (-0.1x + 0.05x2) Solving -1.1 + 0.30x = -0.1x + 0.05x2 Solving for variable 'x'. Combine like terms: 0.30x + 0.1x = 0.4x -1.1 + 0.4x + -0.05x2 = -0.1x + 0.05x2 + 0.1x + -0.05x2 Reorder the terms: -1.1 + 0.4x + -0.05x2 = -0.1x + 0.1x + 0.05x2 + -0.05x2 Combine like terms: -0.1x + 0.1x = 0.0 -1.1 + 0.4x + -0.05x2 = 0.0 + 0.05x2 + -0.05x2 -1.1 + 0.4x + -0.05x2 = 0.05x2 + -0.05x2 Combine like terms: 0.05x2 + -0.05x2 = 0.00 -1.1 + 0.4x + -0.05x2 = 0.00 Begin completing the square. Divide all terms by -0.05 the coefficient of the squared term: Divide each side by '-0.05'. 22 + -8x + x2 = 0 Move the constant term to the right: Add '-22' to each side of the equation. 22 + -8x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + -8x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -8x + x2 = 0 + -22 -8x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 -8x + x2 = -22 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -22 + 16 Reorder the terms: 16 + -8x + x2 = -22 + 16 Combine like terms: -22 + 16 = -6 16 + -8x + x2 = -6 Factor a perfect square on the left side: (x + -4)(x + -4) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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