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Simplifying 7w2 + -3w + 22 = 0 Reorder the terms: 22 + -3w + 7w2 = 0 Solving 22 + -3w + 7w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 3.142857143 + -0.4285714286w + w2 = 0 Move the constant term to the right: Add '-3.142857143' to each side of the equation. 3.142857143 + -0.4285714286w + -3.142857143 + w2 = 0 + -3.142857143 Reorder the terms: 3.142857143 + -3.142857143 + -0.4285714286w + w2 = 0 + -3.142857143 Combine like terms: 3.142857143 + -3.142857143 = 0.000000000 0.000000000 + -0.4285714286w + w2 = 0 + -3.142857143 -0.4285714286w + w2 = 0 + -3.142857143 Combine like terms: 0 + -3.142857143 = -3.142857143 -0.4285714286w + w2 = -3.142857143 The w term is -0.4285714286w. Take half its coefficient (-0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. -0.4285714286w + 0.04591836735 + w2 = -3.142857143 + 0.04591836735 Reorder the terms: 0.04591836735 + -0.4285714286w + w2 = -3.142857143 + 0.04591836735 Combine like terms: -3.142857143 + 0.04591836735 = -3.09693877565 0.04591836735 + -0.4285714286w + w2 = -3.09693877565 Factor a perfect square on the left side: (w + -0.2142857143)(w + -0.2142857143) = -3.09693877565 Can't calculate square root of the right side. The solution to this equation could not be determined.
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