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Simplifying -9x2 + 10x + -9 = 8x Reorder the terms: -9 + 10x + -9x2 = 8x Solving -9 + 10x + -9x2 = 8x Solving for variable 'x'. Reorder the terms: -9 + 10x + -8x + -9x2 = 8x + -8x Combine like terms: 10x + -8x = 2x -9 + 2x + -9x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -9 + 2x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 1 + -0.2222222222x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.2222222222x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.2222222222x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.2222222222x + x2 = 0 + -1 -0.2222222222x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.2222222222x + x2 = -1 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 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222x + x2 = -1 + 0.01234567901 Combine like terms: -1 + 0.01234567901 = -0.98765432099 0.01234567901 + -0.2222222222x + x2 = -0.98765432099 Factor a perfect square on the left side: (x + -0.1111111111)(x + -0.1111111111) = -0.98765432099 Can't calculate square root of the right side. The solution to this equation could not be determined.
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