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Simplifying 9x2 + -2x + 3 = 0 Reorder the terms: 3 + -2x + 9x2 = 0 Solving 3 + -2x + 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'. 0.3333333333 + -0.2222222222x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -0.2222222222x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -0.2222222222x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -0.2222222222x + x2 = 0 + -0.3333333333 -0.2222222222x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -0.2222222222x + x2 = -0.3333333333 The x term is -0.2222222222x. Take half its coefficient (-0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. -0.2222222222x + 0.01234567901 + x2 = -0.3333333333 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222x + x2 = -0.3333333333 + 0.01234567901 Combine like terms: -0.3333333333 + 0.01234567901 = -0.32098765429 0.01234567901 + -0.2222222222x + x2 = -0.32098765429 Factor a perfect square on the left side: (x + -0.1111111111)(x + -0.1111111111) = -0.32098765429 Can't calculate square root of the right side. The solution to this equation could not be determined.
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