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Simplifying 7x2 + -55x + 140 = 0 Reorder the terms: 140 + -55x + 7x2 = 0 Solving 140 + -55x + 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'. 20 + -7.857142857x + x2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -7.857142857x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + -7.857142857x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -7.857142857x + x2 = 0 + -20 -7.857142857x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -7.857142857x + x2 = -20 The x term is -7.857142857x. Take half its coefficient (-3.928571429). Square it (15.43367347) and add it to both sides. Add '15.43367347' to each side of the equation. -7.857142857x + 15.43367347 + x2 = -20 + 15.43367347 Reorder the terms: 15.43367347 + -7.857142857x + x2 = -20 + 15.43367347 Combine like terms: -20 + 15.43367347 = -4.56632653 15.43367347 + -7.857142857x + x2 = -4.56632653 Factor a perfect square on the left side: (x + -3.928571429)(x + -3.928571429) = -4.56632653 Can't calculate square root of the right side. The solution to this equation could not be determined.
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