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Simplifying 0.1x + -0.5x(x + 4) = 2 Reorder the terms: 0.1x + -0.5x(4 + x) = 2 0.1x + (4 * -0.5x + x * -0.5x) = 2 0.1x + (-2x + -0.5x2) = 2 Combine like terms: 0.1x + -2x = -1.9x -1.9x + -0.5x2 = 2 Solving -1.9x + -0.5x2 = 2 Solving for variable 'x'. Reorder the terms: -2 + -1.9x + -0.5x2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -1.9x + -0.5x2 = 0 Begin completing the square. Divide all terms by -0.5 the coefficient of the squared term: Divide each side by '-0.5'. 4 + 3.8x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 3.8x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 3.8x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3.8x + x2 = 0 + -4 3.8x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3.8x + x2 = -4 The x term is 3.8x. Take half its coefficient (1.9). Square it (3.61) and add it to both sides. Add '3.61' to each side of the equation. 3.8x + 3.61 + x2 = -4 + 3.61 Reorder the terms: 3.61 + 3.8x + x2 = -4 + 3.61 Combine like terms: -4 + 3.61 = -0.39 3.61 + 3.8x + x2 = -0.39 Factor a perfect square on the left side: (x + 1.9)(x + 1.9) = -0.39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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