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Simplifying 6x2 + 4x + 7 = 3x2 + -8 Reorder the terms: 7 + 4x + 6x2 = 3x2 + -8 Reorder the terms: 7 + 4x + 6x2 = -8 + 3x2 Solving 7 + 4x + 6x2 = -8 + 3x2 Solving for variable 'x'. Reorder the terms: 7 + 8 + 4x + 6x2 + -3x2 = -8 + 3x2 + 8 + -3x2 Combine like terms: 7 + 8 = 15 15 + 4x + 6x2 + -3x2 = -8 + 3x2 + 8 + -3x2 Combine like terms: 6x2 + -3x2 = 3x2 15 + 4x + 3x2 = -8 + 3x2 + 8 + -3x2 Reorder the terms: 15 + 4x + 3x2 = -8 + 8 + 3x2 + -3x2 Combine like terms: -8 + 8 = 0 15 + 4x + 3x2 = 0 + 3x2 + -3x2 15 + 4x + 3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 15 + 4x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 5 + 1.333333333x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + 1.333333333x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 1.333333333x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1.333333333x + x2 = 0 + -5 1.333333333x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 1.333333333x + x2 = -5 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 = -5 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333x + x2 = -5 + 0.4444444442 Combine like terms: -5 + 0.4444444442 = -4.5555555558 0.4444444442 + 1.333333333x + x2 = -4.5555555558 Factor a perfect square on the left side: (x + 0.6666666665)(x + 0.6666666665) = -4.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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