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Simplifying 0.1x2 + 2.4x + 25 = 0 Reorder the terms: 25 + 2.4x + 0.1x2 = 0 Solving 25 + 2.4x + 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'. 250 + 24x + x2 = 0 Move the constant term to the right: Add '-250' to each side of the equation. 250 + 24x + -250 + x2 = 0 + -250 Reorder the terms: 250 + -250 + 24x + x2 = 0 + -250 Combine like terms: 250 + -250 = 0 0 + 24x + x2 = 0 + -250 24x + x2 = 0 + -250 Combine like terms: 0 + -250 = -250 24x + x2 = -250 The x term is 24x. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24x + 144 + x2 = -250 + 144 Reorder the terms: 144 + 24x + x2 = -250 + 144 Combine like terms: -250 + 144 = -106 144 + 24x + x2 = -106 Factor a perfect square on the left side: (x + 12)(x + 12) = -106 Can't calculate square root of the right side. The solution to this equation could not be determined.
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