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Simplifying -5x2 + 14.1x + -10 = 0 Reorder the terms: -10 + 14.1x + -5x2 = 0 Solving -10 + 14.1x + -5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 2 + -2.82x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2.82x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -2.82x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2.82x + x2 = 0 + -2 -2.82x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2.82x + x2 = -2 The x term is -2.82x. Take half its coefficient (-1.41). Square it (1.9881) and add it to both sides. Add '1.9881' to each side of the equation. -2.82x + 1.9881 + x2 = -2 + 1.9881 Reorder the terms: 1.9881 + -2.82x + x2 = -2 + 1.9881 Combine like terms: -2 + 1.9881 = -0.0119 1.9881 + -2.82x + x2 = -0.0119 Factor a perfect square on the left side: (x + -1.41)(x + -1.41) = -0.0119 Can't calculate square root of the right side. The solution to this equation could not be determined.
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