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Simplifying 6x2 + 17x + 72.25 = 0 Reorder the terms: 72.25 + 17x + 6x2 = 0 Solving 72.25 + 17x + 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'. 12.04166667 + 2.833333333x + x2 = 0 Move the constant term to the right: Add '-12.04166667' to each side of the equation. 12.04166667 + 2.833333333x + -12.04166667 + x2 = 0 + -12.04166667 Reorder the terms: 12.04166667 + -12.04166667 + 2.833333333x + x2 = 0 + -12.04166667 Combine like terms: 12.04166667 + -12.04166667 = 0.00000000 0.00000000 + 2.833333333x + x2 = 0 + -12.04166667 2.833333333x + x2 = 0 + -12.04166667 Combine like terms: 0 + -12.04166667 = -12.04166667 2.833333333x + x2 = -12.04166667 The x term is 2.833333333x. Take half its coefficient (1.416666667). Square it (2.006944445) and add it to both sides. Add '2.006944445' to each side of the equation. 2.833333333x + 2.006944445 + x2 = -12.04166667 + 2.006944445 Reorder the terms: 2.006944445 + 2.833333333x + x2 = -12.04166667 + 2.006944445 Combine like terms: -12.04166667 + 2.006944445 = -10.034722225 2.006944445 + 2.833333333x + x2 = -10.034722225 Factor a perfect square on the left side: (x + 1.416666667)(x + 1.416666667) = -10.034722225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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