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Simplifying 18x2 + -13x + 21 = 0 Reorder the terms: 21 + -13x + 18x2 = 0 Solving 21 + -13x + 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 + -0.7222222222x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + -0.7222222222x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + -0.7222222222x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + -0.7222222222x + x2 = 0 + -1.166666667 -0.7222222222x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 -0.7222222222x + x2 = -1.166666667 The x term is -0.7222222222x. Take half its coefficient (-0.3611111111). Square it (0.1304012346) and add it to both sides. Add '0.1304012346' to each side of the equation. -0.7222222222x + 0.1304012346 + x2 = -1.166666667 + 0.1304012346 Reorder the terms: 0.1304012346 + -0.7222222222x + x2 = -1.166666667 + 0.1304012346 Combine like terms: -1.166666667 + 0.1304012346 = -1.0362654324 0.1304012346 + -0.7222222222x + x2 = -1.0362654324 Factor a perfect square on the left side: (x + -0.3611111111)(x + -0.3611111111) = -1.0362654324 Can't calculate square root of the right side. The solution to this equation could not be determined.
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