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Simplifying 18x2 + 31x + 21 = 0 Reorder the terms: 21 + 31x + 18x2 = 0 Solving 21 + 31x + 18x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 1.166666667 + 1.722222222x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + 1.722222222x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + 1.722222222x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + 1.722222222x + x2 = 0 + -1.166666667 1.722222222x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 1.722222222x + x2 = -1.166666667 The x term is 1.722222222x. Take half its coefficient (0.861111111). Square it (0.7415123455) and add it to both sides. Add '0.7415123455' to each side of the equation. 1.722222222x + 0.7415123455 + x2 = -1.166666667 + 0.7415123455 Reorder the terms: 0.7415123455 + 1.722222222x + x2 = -1.166666667 + 0.7415123455 Combine like terms: -1.166666667 + 0.7415123455 = -0.4251543215 0.7415123455 + 1.722222222x + x2 = -0.4251543215 Factor a perfect square on the left side: (x + 0.861111111)(x + 0.861111111) = -0.4251543215 Can't calculate square root of the right side. The solution to this equation could not be determined.
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