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Simplifying 7r2 + -6r + 22 = 0 Reorder the terms: 22 + -6r + 7r2 = 0 Solving 22 + -6r + 7r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 3.142857143 + -0.8571428571r + r2 = 0 Move the constant term to the right: Add '-3.142857143' to each side of the equation. 3.142857143 + -0.8571428571r + -3.142857143 + r2 = 0 + -3.142857143 Reorder the terms: 3.142857143 + -3.142857143 + -0.8571428571r + r2 = 0 + -3.142857143 Combine like terms: 3.142857143 + -3.142857143 = 0.000000000 0.000000000 + -0.8571428571r + r2 = 0 + -3.142857143 -0.8571428571r + r2 = 0 + -3.142857143 Combine like terms: 0 + -3.142857143 = -3.142857143 -0.8571428571r + r2 = -3.142857143 The r term is -0.8571428571r. 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. -0.8571428571r + 0.1836734694 + r2 = -3.142857143 + 0.1836734694 Reorder the terms: 0.1836734694 + -0.8571428571r + r2 = -3.142857143 + 0.1836734694 Combine like terms: -3.142857143 + 0.1836734694 = -2.9591836736 0.1836734694 + -0.8571428571r + r2 = -2.9591836736 Factor a perfect square on the left side: (r + -0.4285714286)(r + -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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