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Simplifying 14x2 + -11x + 33 = 0 Reorder the terms: 33 + -11x + 14x2 = 0 Solving 33 + -11x + 14x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 2.357142857 + -0.7857142857x + x2 = 0 Move the constant term to the right: Add '-2.357142857' to each side of the equation. 2.357142857 + -0.7857142857x + -2.357142857 + x2 = 0 + -2.357142857 Reorder the terms: 2.357142857 + -2.357142857 + -0.7857142857x + x2 = 0 + -2.357142857 Combine like terms: 2.357142857 + -2.357142857 = 0.000000000 0.000000000 + -0.7857142857x + x2 = 0 + -2.357142857 -0.7857142857x + x2 = 0 + -2.357142857 Combine like terms: 0 + -2.357142857 = -2.357142857 -0.7857142857x + x2 = -2.357142857 The x term is -0.7857142857x. Take half its coefficient (-0.3928571429). Square it (0.1543367347) and add it to both sides. Add '0.1543367347' to each side of the equation. -0.7857142857x + 0.1543367347 + x2 = -2.357142857 + 0.1543367347 Reorder the terms: 0.1543367347 + -0.7857142857x + x2 = -2.357142857 + 0.1543367347 Combine like terms: -2.357142857 + 0.1543367347 = -2.2028061223 0.1543367347 + -0.7857142857x + x2 = -2.2028061223 Factor a perfect square on the left side: (x + -0.3928571429)(x + -0.3928571429) = -2.2028061223 Can't calculate square root of the right side. The solution to this equation could not be determined.
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