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Simplifying 7x2 + -22x = -18 Reorder the terms: -22x + 7x2 = -18 Solving -22x + 7x2 = -18 Solving for variable 'x'. Reorder the terms: 18 + -22x + 7x2 = -18 + 18 Combine like terms: -18 + 18 = 0 18 + -22x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 2.571428571 + -3.142857143x + x2 = 0 Move the constant term to the right: Add '-2.571428571' to each side of the equation. 2.571428571 + -3.142857143x + -2.571428571 + x2 = 0 + -2.571428571 Reorder the terms: 2.571428571 + -2.571428571 + -3.142857143x + x2 = 0 + -2.571428571 Combine like terms: 2.571428571 + -2.571428571 = 0.000000000 0.000000000 + -3.142857143x + x2 = 0 + -2.571428571 -3.142857143x + x2 = 0 + -2.571428571 Combine like terms: 0 + -2.571428571 = -2.571428571 -3.142857143x + x2 = -2.571428571 The x term is -3.142857143x. Take half its coefficient (-1.571428572). Square it (2.469387757) and add it to both sides. Add '2.469387757' to each side of the equation. -3.142857143x + 2.469387757 + x2 = -2.571428571 + 2.469387757 Reorder the terms: 2.469387757 + -3.142857143x + x2 = -2.571428571 + 2.469387757 Combine like terms: -2.571428571 + 2.469387757 = -0.102040814 2.469387757 + -3.142857143x + x2 = -0.102040814 Factor a perfect square on the left side: (x + -1.571428572)(x + -1.571428572) = -0.102040814 Can't calculate square root of the right side. The solution to this equation could not be determined.
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