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Simplifying 3x2 = 9 + 4x + -4(9) Multiply -4 * 9 3x2 = 9 + 4x + -36 Reorder the terms: 3x2 = 9 + -36 + 4x Combine like terms: 9 + -36 = -27 3x2 = -27 + 4x Solving 3x2 = -27 + 4x Solving for variable 'x'. Reorder the terms: 27 + -4x + 3x2 = -27 + 4x + 27 + -4x Reorder the terms: 27 + -4x + 3x2 = -27 + 27 + 4x + -4x Combine like terms: -27 + 27 = 0 27 + -4x + 3x2 = 0 + 4x + -4x 27 + -4x + 3x2 = 4x + -4x Combine like terms: 4x + -4x = 0 27 + -4x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 9 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -1.333333333x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -1.333333333x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1.333333333x + x2 = 0 + -9 -1.333333333x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -1.333333333x + x2 = -9 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 = -9 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -9 + 0.4444444442 Combine like terms: -9 + 0.4444444442 = -8.5555555558 0.4444444442 + -1.333333333x + x2 = -8.5555555558 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -8.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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