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Simplifying 6x2 + 6x + 54 = x Reorder the terms: 54 + 6x + 6x2 = x Solving 54 + 6x + 6x2 = x Solving for variable 'x'. Reorder the terms: 54 + 6x + -1x + 6x2 = x + -1x Combine like terms: 6x + -1x = 5x 54 + 5x + 6x2 = x + -1x Combine like terms: x + -1x = 0 54 + 5x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 9 + 0.8333333333x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + 0.8333333333x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 0.8333333333x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 0.8333333333x + x2 = 0 + -9 0.8333333333x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 0.8333333333x + x2 = -9 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 = -9 + 0.1736111111 Reorder the terms: 0.1736111111 + 0.8333333333x + x2 = -9 + 0.1736111111 Combine like terms: -9 + 0.1736111111 = -8.8263888889 0.1736111111 + 0.8333333333x + x2 = -8.8263888889 Factor a perfect square on the left side: (x + 0.4166666667)(x + 0.4166666667) = -8.8263888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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