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Simplifying 9x2 + 18x + 13 = 0 Reorder the terms: 13 + 18x + 9x2 = 0 Solving 13 + 18x + 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'. 1.444444444 + 2x + x2 = 0 Move the constant term to the right: Add '-1.444444444' to each side of the equation. 1.444444444 + 2x + -1.444444444 + x2 = 0 + -1.444444444 Reorder the terms: 1.444444444 + -1.444444444 + 2x + x2 = 0 + -1.444444444 Combine like terms: 1.444444444 + -1.444444444 = 0.000000000 0.000000000 + 2x + x2 = 0 + -1.444444444 2x + x2 = 0 + -1.444444444 Combine like terms: 0 + -1.444444444 = -1.444444444 2x + x2 = -1.444444444 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -1.444444444 + 1 Reorder the terms: 1 + 2x + x2 = -1.444444444 + 1 Combine like terms: -1.444444444 + 1 = -0.444444444 1 + 2x + x2 = -0.444444444 Factor a perfect square on the left side: (x + 1)(x + 1) = -0.444444444 Can't calculate square root of the right side. The solution to this equation could not be determined.
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