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Simplifying 9x2 + -10x + 21 = 0 Reorder the terms: 21 + -10x + 9x2 = 0 Solving 21 + -10x + 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'. 2.333333333 + -1.111111111x + x2 = 0 Move the constant term to the right: Add '-2.333333333' to each side of the equation. 2.333333333 + -1.111111111x + -2.333333333 + x2 = 0 + -2.333333333 Reorder the terms: 2.333333333 + -2.333333333 + -1.111111111x + x2 = 0 + -2.333333333 Combine like terms: 2.333333333 + -2.333333333 = 0.000000000 0.000000000 + -1.111111111x + x2 = 0 + -2.333333333 -1.111111111x + x2 = 0 + -2.333333333 Combine like terms: 0 + -2.333333333 = -2.333333333 -1.111111111x + x2 = -2.333333333 The x term is -1.111111111x. Take half its coefficient (-0.5555555555). Square it (0.3086419752) and add it to both sides. Add '0.3086419752' to each side of the equation. -1.111111111x + 0.3086419752 + x2 = -2.333333333 + 0.3086419752 Reorder the terms: 0.3086419752 + -1.111111111x + x2 = -2.333333333 + 0.3086419752 Combine like terms: -2.333333333 + 0.3086419752 = -2.0246913578 0.3086419752 + -1.111111111x + x2 = -2.0246913578 Factor a perfect square on the left side: (x + -0.5555555555)(x + -0.5555555555) = -2.0246913578 Can't calculate square root of the right side. The solution to this equation could not be determined.
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