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Simplifying 7x2 + -5x + 19 = 0 Reorder the terms: 19 + -5x + 7x2 = 0 Solving 19 + -5x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 2.714285714 + -0.7142857143x + x2 = 0 Move the constant term to the right: Add '-2.714285714' to each side of the equation. 2.714285714 + -0.7142857143x + -2.714285714 + x2 = 0 + -2.714285714 Reorder the terms: 2.714285714 + -2.714285714 + -0.7142857143x + x2 = 0 + -2.714285714 Combine like terms: 2.714285714 + -2.714285714 = 0.000000000 0.000000000 + -0.7142857143x + x2 = 0 + -2.714285714 -0.7142857143x + x2 = 0 + -2.714285714 Combine like terms: 0 + -2.714285714 = -2.714285714 -0.7142857143x + x2 = -2.714285714 The x term is -0.7142857143x. Take half its coefficient (-0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. -0.7142857143x + 0.1275510204 + x2 = -2.714285714 + 0.1275510204 Reorder the terms: 0.1275510204 + -0.7142857143x + x2 = -2.714285714 + 0.1275510204 Combine like terms: -2.714285714 + 0.1275510204 = -2.5867346936 0.1275510204 + -0.7142857143x + x2 = -2.5867346936 Factor a perfect square on the left side: (x + -0.3571428572)(x + -0.3571428572) = -2.5867346936 Can't calculate square root of the right side. The solution to this equation could not be determined.
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