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Simplifying 6x2 + 5x + 12 = 0 Reorder the terms: 12 + 5x + 6x2 = 0 Solving 12 + 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'. 2 + 0.8333333333x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 0.8333333333x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 0.8333333333x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.8333333333x + x2 = 0 + -2 0.8333333333x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 0.8333333333x + x2 = -2 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 = -2 + 0.1736111111 Reorder the terms: 0.1736111111 + 0.8333333333x + x2 = -2 + 0.1736111111 Combine like terms: -2 + 0.1736111111 = -1.8263888889 0.1736111111 + 0.8333333333x + x2 = -1.8263888889 Factor a perfect square on the left side: (x + 0.4166666667)(x + 0.4166666667) = -1.8263888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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