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Simplifying 6x2 + -17x + 25 = 0 Reorder the terms: 25 + -17x + 6x2 = 0 Solving 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'. 4.166666667 + -2.833333333x + x2 = 0 Move the constant term to the right: Add '-4.166666667' to each side of the equation. 4.166666667 + -2.833333333x + -4.166666667 + x2 = 0 + -4.166666667 Reorder the terms: 4.166666667 + -4.166666667 + -2.833333333x + x2 = 0 + -4.166666667 Combine like terms: 4.166666667 + -4.166666667 = 0.000000000 0.000000000 + -2.833333333x + x2 = 0 + -4.166666667 -2.833333333x + x2 = 0 + -4.166666667 Combine like terms: 0 + -4.166666667 = -4.166666667 -2.833333333x + x2 = -4.166666667 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 = -4.166666667 + 2.006944445 Reorder the terms: 2.006944445 + -2.833333333x + x2 = -4.166666667 + 2.006944445 Combine like terms: -4.166666667 + 2.006944445 = -2.159722222 2.006944445 + -2.833333333x + x2 = -2.159722222 Factor a perfect square on the left side: (x + -1.416666667)(x + -1.416666667) = -2.159722222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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