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Simplifying 7x2 + -18x + 20 = 0 Reorder the terms: 20 + -18x + 7x2 = 0 Solving 20 + -18x + 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'. 2.857142857 + -2.571428571x + x2 = 0 Move the constant term to the right: Add '-2.857142857' to each side of the equation. 2.857142857 + -2.571428571x + -2.857142857 + x2 = 0 + -2.857142857 Reorder the terms: 2.857142857 + -2.857142857 + -2.571428571x + x2 = 0 + -2.857142857 Combine like terms: 2.857142857 + -2.857142857 = 0.000000000 0.000000000 + -2.571428571x + x2 = 0 + -2.857142857 -2.571428571x + x2 = 0 + -2.857142857 Combine like terms: 0 + -2.857142857 = -2.857142857 -2.571428571x + x2 = -2.857142857 The x term is -2.571428571x. Take half its coefficient (-1.285714286). Square it (1.653061225) and add it to both sides. Add '1.653061225' to each side of the equation. -2.571428571x + 1.653061225 + x2 = -2.857142857 + 1.653061225 Reorder the terms: 1.653061225 + -2.571428571x + x2 = -2.857142857 + 1.653061225 Combine like terms: -2.857142857 + 1.653061225 = -1.204081632 1.653061225 + -2.571428571x + x2 = -1.204081632 Factor a perfect square on the left side: (x + -1.285714286)(x + -1.285714286) = -1.204081632 Can't calculate square root of the right side. The solution to this equation could not be determined.
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