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Simplifying x2 + -0.2x + 6.8 = 0 Reorder the terms: 6.8 + -0.2x + x2 = 0 Solving 6.8 + -0.2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-6.8' to each side of the equation. 6.8 + -0.2x + -6.8 + x2 = 0 + -6.8 Reorder the terms: 6.8 + -6.8 + -0.2x + x2 = 0 + -6.8 Combine like terms: 6.8 + -6.8 = 0.0 0.0 + -0.2x + x2 = 0 + -6.8 -0.2x + x2 = 0 + -6.8 Combine like terms: 0 + -6.8 = -6.8 -0.2x + x2 = -6.8 The x term is -0.2x. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2x + 0.01 + x2 = -6.8 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -6.8 + 0.01 Combine like terms: -6.8 + 0.01 = -6.79 0.01 + -0.2x + x2 = -6.79 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -6.79 Can't calculate square root of the right side. The solution to this equation could not be determined.
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