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Simplifying 5.3x2 + -13x + 14 = 0 Reorder the terms: 14 + -13x + 5.3x2 = 0 Solving 14 + -13x + 5.3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5.3 the coefficient of the squared term: Divide each side by '5.3'. 2.641509434 + -2.452830189x + x2 = 0 Move the constant term to the right: Add '-2.641509434' to each side of the equation. 2.641509434 + -2.452830189x + -2.641509434 + x2 = 0 + -2.641509434 Reorder the terms: 2.641509434 + -2.641509434 + -2.452830189x + x2 = 0 + -2.641509434 Combine like terms: 2.641509434 + -2.641509434 = 0.000000000 0.000000000 + -2.452830189x + x2 = 0 + -2.641509434 -2.452830189x + x2 = 0 + -2.641509434 Combine like terms: 0 + -2.641509434 = -2.641509434 -2.452830189x + x2 = -2.641509434 The x term is -2.452830189x. Take half its coefficient (-1.226415095). Square it (1.504093985) and add it to both sides. Add '1.504093985' to each side of the equation. -2.452830189x + 1.504093985 + x2 = -2.641509434 + 1.504093985 Reorder the terms: 1.504093985 + -2.452830189x + x2 = -2.641509434 + 1.504093985 Combine like terms: -2.641509434 + 1.504093985 = -1.137415449 1.504093985 + -2.452830189x + x2 = -1.137415449 Factor a perfect square on the left side: (x + -1.226415095)(x + -1.226415095) = -1.137415449 Can't calculate square root of the right side. The solution to this equation could not be determined.
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