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Simplifying 9x2 + 40x + 84 = 0 Reorder the terms: 84 + 40x + 9x2 = 0 Solving 84 + 40x + 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'. 9.333333333 + 4.444444444x + x2 = 0 Move the constant term to the right: Add '-9.333333333' to each side of the equation. 9.333333333 + 4.444444444x + -9.333333333 + x2 = 0 + -9.333333333 Reorder the terms: 9.333333333 + -9.333333333 + 4.444444444x + x2 = 0 + -9.333333333 Combine like terms: 9.333333333 + -9.333333333 = 0.000000000 0.000000000 + 4.444444444x + x2 = 0 + -9.333333333 4.444444444x + x2 = 0 + -9.333333333 Combine like terms: 0 + -9.333333333 = -9.333333333 4.444444444x + x2 = -9.333333333 The x term is 4.444444444x. Take half its coefficient (2.222222222). Square it (4.938271604) and add it to both sides. Add '4.938271604' to each side of the equation. 4.444444444x + 4.938271604 + x2 = -9.333333333 + 4.938271604 Reorder the terms: 4.938271604 + 4.444444444x + x2 = -9.333333333 + 4.938271604 Combine like terms: -9.333333333 + 4.938271604 = -4.395061729 4.938271604 + 4.444444444x + x2 = -4.395061729 Factor a perfect square on the left side: (x + 2.222222222)(x + 2.222222222) = -4.395061729 Can't calculate square root of the right side. The solution to this equation could not be determined.
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