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Simplifying 18x2 + -23x + 15 = 0 Reorder the terms: 15 + -23x + 18x2 = 0 Solving 15 + -23x + 18x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.8333333333 + -1.277777778x + x2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + -1.277777778x + -0.8333333333 + x2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + -1.277777778x + x2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + -1.277777778x + x2 = 0 + -0.8333333333 -1.277777778x + x2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 -1.277777778x + x2 = -0.8333333333 The x term is -1.277777778x. Take half its coefficient (-0.638888889). Square it (0.4081790125) and add it to both sides. Add '0.4081790125' to each side of the equation. -1.277777778x + 0.4081790125 + x2 = -0.8333333333 + 0.4081790125 Reorder the terms: 0.4081790125 + -1.277777778x + x2 = -0.8333333333 + 0.4081790125 Combine like terms: -0.8333333333 + 0.4081790125 = -0.4251543208 0.4081790125 + -1.277777778x + x2 = -0.4251543208 Factor a perfect square on the left side: (x + -0.638888889)(x + -0.638888889) = -0.4251543208 Can't calculate square root of the right side. The solution to this equation could not be determined.
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