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Simplifying 49x2 + -84x + 397 = 0 Reorder the terms: 397 + -84x + 49x2 = 0 Solving 397 + -84x + 49x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 8.102040816 + -1.714285714x + x2 = 0 Move the constant term to the right: Add '-8.102040816' to each side of the equation. 8.102040816 + -1.714285714x + -8.102040816 + x2 = 0 + -8.102040816 Reorder the terms: 8.102040816 + -8.102040816 + -1.714285714x + x2 = 0 + -8.102040816 Combine like terms: 8.102040816 + -8.102040816 = 0.000000000 0.000000000 + -1.714285714x + x2 = 0 + -8.102040816 -1.714285714x + x2 = 0 + -8.102040816 Combine like terms: 0 + -8.102040816 = -8.102040816 -1.714285714x + x2 = -8.102040816 The x term is -1.714285714x. Take half its coefficient (-0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. -1.714285714x + 0.7346938773 + x2 = -8.102040816 + 0.7346938773 Reorder the terms: 0.7346938773 + -1.714285714x + x2 = -8.102040816 + 0.7346938773 Combine like terms: -8.102040816 + 0.7346938773 = -7.3673469387 0.7346938773 + -1.714285714x + x2 = -7.3673469387 Factor a perfect square on the left side: (x + -0.857142857)(x + -0.857142857) = -7.3673469387 Can't calculate square root of the right side. The solution to this equation could not be determined.
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