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Simplifying 3x2 + 4x = -18 Reorder the terms: 4x + 3x2 = -18 Solving 4x + 3x2 = -18 Solving for variable 'x'. Reorder the terms: 18 + 4x + 3x2 = -18 + 18 Combine like terms: -18 + 18 = 0 18 + 4x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 6 + 1.333333333x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + 1.333333333x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + 1.333333333x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 1.333333333x + x2 = 0 + -6 1.333333333x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 1.333333333x + x2 = -6 The x term is 1.333333333x. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333x + 0.4444444442 + x2 = -6 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333x + x2 = -6 + 0.4444444442 Combine like terms: -6 + 0.4444444442 = -5.5555555558 0.4444444442 + 1.333333333x + x2 = -5.5555555558 Factor a perfect square on the left side: (x + 0.6666666665)(x + 0.6666666665) = -5.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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