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Simplifying 31 = -18x2 + 4x Reorder the terms: 31 = 4x + -18x2 Solving 31 = 4x + -18x2 Solving for variable 'x'. Reorder the terms: 31 + -4x + 18x2 = 4x + -4x + -18x2 + 18x2 Combine like terms: 4x + -4x = 0 31 + -4x + 18x2 = 0 + -18x2 + 18x2 31 + -4x + 18x2 = -18x2 + 18x2 Combine like terms: -18x2 + 18x2 = 0 31 + -4x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 1.722222222 + -0.2222222222x + x2 = 0 Move the constant term to the right: Add '-1.722222222' to each side of the equation. 1.722222222 + -0.2222222222x + -1.722222222 + x2 = 0 + -1.722222222 Reorder the terms: 1.722222222 + -1.722222222 + -0.2222222222x + x2 = 0 + -1.722222222 Combine like terms: 1.722222222 + -1.722222222 = 0.000000000 0.000000000 + -0.2222222222x + x2 = 0 + -1.722222222 -0.2222222222x + x2 = 0 + -1.722222222 Combine like terms: 0 + -1.722222222 = -1.722222222 -0.2222222222x + x2 = -1.722222222 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 = -1.722222222 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222x + x2 = -1.722222222 + 0.01234567901 Combine like terms: -1.722222222 + 0.01234567901 = -1.70987654299 0.01234567901 + -0.2222222222x + x2 = -1.70987654299 Factor a perfect square on the left side: (x + -0.1111111111)(x + -0.1111111111) = -1.70987654299 Can't calculate square root of the right side. The solution to this equation could not be determined.
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