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Simplifying 0 = 9x2 + -7x + 18 Reorder the terms: 0 = 18 + -7x + 9x2 Solving 0 = 18 + -7x + 9x2 Solving for variable 'x'. Combine like terms: 0 + -18 = -18 -18 + 7x + -9x2 = 18 + -7x + 9x2 + -18 + 7x + -9x2 Reorder the terms: -18 + 7x + -9x2 = 18 + -18 + -7x + 7x + 9x2 + -9x2 Combine like terms: 18 + -18 = 0 -18 + 7x + -9x2 = 0 + -7x + 7x + 9x2 + -9x2 -18 + 7x + -9x2 = -7x + 7x + 9x2 + -9x2 Combine like terms: -7x + 7x = 0 -18 + 7x + -9x2 = 0 + 9x2 + -9x2 -18 + 7x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -18 + 7x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 2 + -0.7777777778x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.7777777778x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -0.7777777778x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.7777777778x + x2 = 0 + -2 -0.7777777778x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.7777777778x + x2 = -2 The x term is -0.7777777778x. Take half its coefficient (-0.3888888889). Square it (0.1512345679) and add it to both sides. Add '0.1512345679' to each side of the equation. -0.7777777778x + 0.1512345679 + x2 = -2 + 0.1512345679 Reorder the terms: 0.1512345679 + -0.7777777778x + x2 = -2 + 0.1512345679 Combine like terms: -2 + 0.1512345679 = -1.8487654321 0.1512345679 + -0.7777777778x + x2 = -1.8487654321 Factor a perfect square on the left side: (x + -0.3888888889)(x + -0.3888888889) = -1.8487654321 Can't calculate square root of the right side. The solution to this equation could not be determined.
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