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Simplifying 9x2 + 8x + 28 = 0 Reorder the terms: 28 + 8x + 9x2 = 0 Solving 28 + 8x + 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'. 3.111111111 + 0.8888888889x + x2 = 0 Move the constant term to the right: Add '-3.111111111' to each side of the equation. 3.111111111 + 0.8888888889x + -3.111111111 + x2 = 0 + -3.111111111 Reorder the terms: 3.111111111 + -3.111111111 + 0.8888888889x + x2 = 0 + -3.111111111 Combine like terms: 3.111111111 + -3.111111111 = 0.000000000 0.000000000 + 0.8888888889x + x2 = 0 + -3.111111111 0.8888888889x + x2 = 0 + -3.111111111 Combine like terms: 0 + -3.111111111 = -3.111111111 0.8888888889x + x2 = -3.111111111 The x term is 0.8888888889x. Take half its coefficient (0.4444444445). Square it (0.1975308642) and add it to both sides. Add '0.1975308642' to each side of the equation. 0.8888888889x + 0.1975308642 + x2 = -3.111111111 + 0.1975308642 Reorder the terms: 0.1975308642 + 0.8888888889x + x2 = -3.111111111 + 0.1975308642 Combine like terms: -3.111111111 + 0.1975308642 = -2.9135802468 0.1975308642 + 0.8888888889x + x2 = -2.9135802468 Factor a perfect square on the left side: (x + 0.4444444445)(x + 0.4444444445) = -2.9135802468 Can't calculate square root of the right side. The solution to this equation could not be determined.
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