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Simplifying x + -18 = 3x2 Reorder the terms: -18 + x = 3x2 Solving -18 + x = 3x2 Solving for variable 'x'. Combine like terms: 3x2 + -3x2 = 0 -18 + x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 6 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -0.3333333333x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -0.3333333333x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -0.3333333333x + x2 = 0 + -6 -0.3333333333x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -0.3333333333x + x2 = -6 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.3333333333x + 0.25 + x2 = -6 + 0.25 Reorder the terms: 0.25 + -0.3333333333x + x2 = -6 + 0.25 Combine like terms: -6 + 0.25 = -5.75 0.25 + -0.3333333333x + x2 = -5.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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