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Simplifying 6x2 + 17x + 15 = 0 Reorder the terms: 15 + 17x + 6x2 = 0 Solving 15 + 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'. 2.5 + 2.833333333x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 2.833333333x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 2.833333333x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 2.833333333x + x2 = 0 + -2.5 2.833333333x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 2.833333333x + x2 = -2.5 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 = -2.5 + 2.006944445 Reorder the terms: 2.006944445 + 2.833333333x + x2 = -2.5 + 2.006944445 Combine like terms: -2.5 + 2.006944445 = -0.493055555 2.006944445 + 2.833333333x + x2 = -0.493055555 Factor a perfect square on the left side: (x + 1.416666667)(x + 1.416666667) = -0.493055555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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