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Simplifying 5 = 2x + -9x2 Solving 5 = 2x + -9x2 Solving for variable 'x'. Reorder the terms: 5 + -2x + 9x2 = 2x + -2x + -9x2 + 9x2 Combine like terms: 2x + -2x = 0 5 + -2x + 9x2 = 0 + -9x2 + 9x2 5 + -2x + 9x2 = -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 5 + -2x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.5555555556 + -0.2222222222x + x2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + -0.2222222222x + -0.5555555556 + x2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + -0.2222222222x + x2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + -0.2222222222x + x2 = 0 + -0.5555555556 -0.2222222222x + x2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 -0.2222222222x + x2 = -0.5555555556 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 = -0.5555555556 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222x + x2 = -0.5555555556 + 0.01234567901 Combine like terms: -0.5555555556 + 0.01234567901 = -0.54320987659 0.01234567901 + -0.2222222222x + x2 = -0.54320987659 Factor a perfect square on the left side: (x + -0.1111111111)(x + -0.1111111111) = -0.54320987659 Can't calculate square root of the right side. The solution to this equation could not be determined.
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