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Simplifying 25x2 + 3x + 12 = 0 Reorder the terms: 12 + 3x + 25x2 = 0 Solving 12 + 3x + 25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.48 + 0.12x + x2 = 0 Move the constant term to the right: Add '-0.48' to each side of the equation. 0.48 + 0.12x + -0.48 + x2 = 0 + -0.48 Reorder the terms: 0.48 + -0.48 + 0.12x + x2 = 0 + -0.48 Combine like terms: 0.48 + -0.48 = 0.00 0.00 + 0.12x + x2 = 0 + -0.48 0.12x + x2 = 0 + -0.48 Combine like terms: 0 + -0.48 = -0.48 0.12x + x2 = -0.48 The x term is 0.12x. Take half its coefficient (0.06). Square it (0.0036) and add it to both sides. Add '0.0036' to each side of the equation. 0.12x + 0.0036 + x2 = -0.48 + 0.0036 Reorder the terms: 0.0036 + 0.12x + x2 = -0.48 + 0.0036 Combine like terms: -0.48 + 0.0036 = -0.4764 0.0036 + 0.12x + x2 = -0.4764 Factor a perfect square on the left side: (x + 0.06)(x + 0.06) = -0.4764 Can't calculate square root of the right side. The solution to this equation could not be determined.
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