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Simplifying (9x2 + -3x + 12) + -1(x + -8) = 0 Reorder the terms: (12 + -3x + 9x2) + -1(x + -8) = 0 Remove parenthesis around (12 + -3x + 9x2) 12 + -3x + 9x2 + -1(x + -8) = 0 Reorder the terms: 12 + -3x + 9x2 + -1(-8 + x) = 0 12 + -3x + 9x2 + (-8 * -1 + x * -1) = 0 12 + -3x + 9x2 + (8 + -1x) = 0 Reorder the terms: 12 + 8 + -3x + -1x + 9x2 = 0 Combine like terms: 12 + 8 = 20 20 + -3x + -1x + 9x2 = 0 Combine like terms: -3x + -1x = -4x 20 + -4x + 9x2 = 0 Solving 20 + -4x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.222222222 + -0.4444444444x + x2 = 0 Move the constant term to the right: Add '-2.222222222' to each side of the equation. 2.222222222 + -0.4444444444x + -2.222222222 + x2 = 0 + -2.222222222 Reorder the terms: 2.222222222 + -2.222222222 + -0.4444444444x + x2 = 0 + -2.222222222 Combine like terms: 2.222222222 + -2.222222222 = 0.000000000 0.000000000 + -0.4444444444x + x2 = 0 + -2.222222222 -0.4444444444x + x2 = 0 + -2.222222222 Combine like terms: 0 + -2.222222222 = -2.222222222 -0.4444444444x + x2 = -2.222222222 The x term is -0.4444444444x. Take half its coefficient (-0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. -0.4444444444x + 0.04938271604 + x2 = -2.222222222 + 0.04938271604 Reorder the terms: 0.04938271604 + -0.4444444444x + x2 = -2.222222222 + 0.04938271604 Combine like terms: -2.222222222 + 0.04938271604 = -2.17283950596 0.04938271604 + -0.4444444444x + x2 = -2.17283950596 Factor a perfect square on the left side: (x + -0.2222222222)(x + -0.2222222222) = -2.17283950596 Can't calculate square root of the right side. The solution to this equation could not be determined.
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