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Simplifying 6x2 + -41x + 72 = 0 Reorder the terms: 72 + -41x + 6x2 = 0 Solving 72 + -41x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 12 + -6.833333333x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -6.833333333x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -6.833333333x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6.833333333x + x2 = 0 + -12 -6.833333333x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -6.833333333x + x2 = -12 The x term is -6.833333333x. Take half its coefficient (-3.416666667). Square it (11.67361111) and add it to both sides. Add '11.67361111' to each side of the equation. -6.833333333x + 11.67361111 + x2 = -12 + 11.67361111 Reorder the terms: 11.67361111 + -6.833333333x + x2 = -12 + 11.67361111 Combine like terms: -12 + 11.67361111 = -0.32638889 11.67361111 + -6.833333333x + x2 = -0.32638889 Factor a perfect square on the left side: (x + -3.416666667)(x + -3.416666667) = -0.32638889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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