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Simplifying 13x2 + -18x + 9 = 0 Reorder the terms: 9 + -18x + 13x2 = 0 Solving 9 + -18x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 0.6923076923 + -1.384615385x + x2 = 0 Move the constant term to the right: Add '-0.6923076923' to each side of the equation. 0.6923076923 + -1.384615385x + -0.6923076923 + x2 = 0 + -0.6923076923 Reorder the terms: 0.6923076923 + -0.6923076923 + -1.384615385x + x2 = 0 + -0.6923076923 Combine like terms: 0.6923076923 + -0.6923076923 = 0.0000000000 0.0000000000 + -1.384615385x + x2 = 0 + -0.6923076923 -1.384615385x + x2 = 0 + -0.6923076923 Combine like terms: 0 + -0.6923076923 = -0.6923076923 -1.384615385x + x2 = -0.6923076923 The x term is -1.384615385x. Take half its coefficient (-0.6923076925). Square it (0.4792899411) and add it to both sides. Add '0.4792899411' to each side of the equation. -1.384615385x + 0.4792899411 + x2 = -0.6923076923 + 0.4792899411 Reorder the terms: 0.4792899411 + -1.384615385x + x2 = -0.6923076923 + 0.4792899411 Combine like terms: -0.6923076923 + 0.4792899411 = -0.2130177512 0.4792899411 + -1.384615385x + x2 = -0.2130177512 Factor a perfect square on the left side: (x + -0.6923076925)(x + -0.6923076925) = -0.2130177512 Can't calculate square root of the right side. The solution to this equation could not be determined.
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