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Simplifying (7x2 + -6x + 22) = 0 Reorder the terms: (22 + -6x + 7x2) = 0 Remove parenthesis around (22 + -6x + 7x2) 22 + -6x + 7x2 = 0 Solving 22 + -6x + 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'. 3.142857143 + -0.8571428571x + x2 = 0 Move the constant term to the right: Add '-3.142857143' to each side of the equation. 3.142857143 + -0.8571428571x + -3.142857143 + x2 = 0 + -3.142857143 Reorder the terms: 3.142857143 + -3.142857143 + -0.8571428571x + x2 = 0 + -3.142857143 Combine like terms: 3.142857143 + -3.142857143 = 0.000000000 0.000000000 + -0.8571428571x + x2 = 0 + -3.142857143 -0.8571428571x + x2 = 0 + -3.142857143 Combine like terms: 0 + -3.142857143 = -3.142857143 -0.8571428571x + x2 = -3.142857143 The x term is -0.8571428571x. Take half its coefficient (-0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. -0.8571428571x + 0.1836734694 + x2 = -3.142857143 + 0.1836734694 Reorder the terms: 0.1836734694 + -0.8571428571x + x2 = -3.142857143 + 0.1836734694 Combine like terms: -3.142857143 + 0.1836734694 = -2.9591836736 0.1836734694 + -0.8571428571x + x2 = -2.9591836736 Factor a perfect square on the left side: (x + -0.4285714286)(x + -0.4285714286) = -2.9591836736 Can't calculate square root of the right side. The solution to this equation could not be determined.
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