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Simplifying 6x2 + 26x + 95 = 0 Reorder the terms: 95 + 26x + 6x2 = 0 Solving 95 + 26x + 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'. 15.83333333 + 4.333333333x + x2 = 0 Move the constant term to the right: Add '-15.83333333' to each side of the equation. 15.83333333 + 4.333333333x + -15.83333333 + x2 = 0 + -15.83333333 Reorder the terms: 15.83333333 + -15.83333333 + 4.333333333x + x2 = 0 + -15.83333333 Combine like terms: 15.83333333 + -15.83333333 = 0.00000000 0.00000000 + 4.333333333x + x2 = 0 + -15.83333333 4.333333333x + x2 = 0 + -15.83333333 Combine like terms: 0 + -15.83333333 = -15.83333333 4.333333333x + x2 = -15.83333333 The x term is 4.333333333x. Take half its coefficient (2.166666667). Square it (4.694444446) and add it to both sides. Add '4.694444446' to each side of the equation. 4.333333333x + 4.694444446 + x2 = -15.83333333 + 4.694444446 Reorder the terms: 4.694444446 + 4.333333333x + x2 = -15.83333333 + 4.694444446 Combine like terms: -15.83333333 + 4.694444446 = -11.138888884 4.694444446 + 4.333333333x + x2 = -11.138888884 Factor a perfect square on the left side: (x + 2.166666667)(x + 2.166666667) = -11.138888884 Can't calculate square root of the right side. The solution to this equation could not be determined.
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