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Simplifying (9x2 + -8x + -3) + -1(3x2 + -8) = 0 Reorder the terms: (-3 + -8x + 9x2) + -1(3x2 + -8) = 0 Remove parenthesis around (-3 + -8x + 9x2) -3 + -8x + 9x2 + -1(3x2 + -8) = 0 Reorder the terms: -3 + -8x + 9x2 + -1(-8 + 3x2) = 0 -3 + -8x + 9x2 + (-8 * -1 + 3x2 * -1) = 0 -3 + -8x + 9x2 + (8 + -3x2) = 0 Reorder the terms: -3 + 8 + -8x + 9x2 + -3x2 = 0 Combine like terms: -3 + 8 = 5 5 + -8x + 9x2 + -3x2 = 0 Combine like terms: 9x2 + -3x2 = 6x2 5 + -8x + 6x2 = 0 Solving 5 + -8x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.8333333333 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + -1.333333333x + -0.8333333333 + x2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + -1.333333333x + x2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + -1.333333333x + x2 = 0 + -0.8333333333 -1.333333333x + x2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 -1.333333333x + x2 = -0.8333333333 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 = -0.8333333333 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -0.8333333333 + 0.4444444442 Combine like terms: -0.8333333333 + 0.4444444442 = -0.3888888891 0.4444444442 + -1.333333333x + x2 = -0.3888888891 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -0.3888888891 Can't calculate square root of the right side. The solution to this equation could not be determined.
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