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Simplifying 3x2 + 15x + 25 = 0 Reorder the terms: 25 + 15x + 3x2 = 0 Solving 25 + 15x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 8.333333333 + 5x + x2 = 0 Move the constant term to the right: Add '-8.333333333' to each side of the equation. 8.333333333 + 5x + -8.333333333 + x2 = 0 + -8.333333333 Reorder the terms: 8.333333333 + -8.333333333 + 5x + x2 = 0 + -8.333333333 Combine like terms: 8.333333333 + -8.333333333 = 0.000000000 0.000000000 + 5x + x2 = 0 + -8.333333333 5x + x2 = 0 + -8.333333333 Combine like terms: 0 + -8.333333333 = -8.333333333 5x + x2 = -8.333333333 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -8.333333333 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -8.333333333 + 6.25 Combine like terms: -8.333333333 + 6.25 = -2.083333333 6.25 + 5x + x2 = -2.083333333 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -2.083333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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