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Simplifying 0.12x2 + -2.4x + 13 = 0 Reorder the terms: 13 + -2.4x + 0.12x2 = 0 Solving 13 + -2.4x + 0.12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.12 the coefficient of the squared term: Divide each side by '0.12'. 108.3333333 + -20x + x2 = 0 Move the constant term to the right: Add '-108.3333333' to each side of the equation. 108.3333333 + -20x + -108.3333333 + x2 = 0 + -108.3333333 Reorder the terms: 108.3333333 + -108.3333333 + -20x + x2 = 0 + -108.3333333 Combine like terms: 108.3333333 + -108.3333333 = 0.0000000 0.0000000 + -20x + x2 = 0 + -108.3333333 -20x + x2 = 0 + -108.3333333 Combine like terms: 0 + -108.3333333 = -108.3333333 -20x + x2 = -108.3333333 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -108.3333333 + 100 Reorder the terms: 100 + -20x + x2 = -108.3333333 + 100 Combine like terms: -108.3333333 + 100 = -8.3333333 100 + -20x + x2 = -8.3333333 Factor a perfect square on the left side: (x + -10)(x + -10) = -8.3333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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