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Simplifying 6x2 + -5x + 6 = 0 Reorder the terms: 6 + -5x + 6x2 = 0 Solving 6 + -5x + 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'. 1 + -0.8333333333x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.8333333333x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.8333333333x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.8333333333x + x2 = 0 + -1 -0.8333333333x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.8333333333x + x2 = -1 The x term is -0.8333333333x. Take half its coefficient (-0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. -0.8333333333x + 0.1736111111 + x2 = -1 + 0.1736111111 Reorder the terms: 0.1736111111 + -0.8333333333x + x2 = -1 + 0.1736111111 Combine like terms: -1 + 0.1736111111 = -0.8263888889 0.1736111111 + -0.8333333333x + x2 = -0.8263888889 Factor a perfect square on the left side: (x + -0.4166666667)(x + -0.4166666667) = -0.8263888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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