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Simplifying 0.1x2 + -0.4x + 2.938 = 0 Reorder the terms: 2.938 + -0.4x + 0.1x2 = 0 Solving 2.938 + -0.4x + 0.1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 29.38 + -4x + x2 = 0 Move the constant term to the right: Add '-29.38' to each side of the equation. 29.38 + -4x + -29.38 + x2 = 0 + -29.38 Reorder the terms: 29.38 + -29.38 + -4x + x2 = 0 + -29.38 Combine like terms: 29.38 + -29.38 = 0.00 0.00 + -4x + x2 = 0 + -29.38 -4x + x2 = 0 + -29.38 Combine like terms: 0 + -29.38 = -29.38 -4x + x2 = -29.38 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -29.38 + 4 Reorder the terms: 4 + -4x + x2 = -29.38 + 4 Combine like terms: -29.38 + 4 = -25.38 4 + -4x + x2 = -25.38 Factor a perfect square on the left side: (x + -2)(x + -2) = -25.38 Can't calculate square root of the right side. The solution to this equation could not be determined.
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