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Simplifying 13x2 + -27x + 18 = 0 Reorder the terms: 18 + -27x + 13x2 = 0 Solving 18 + -27x + 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'. 1.384615385 + -2.076923077x + x2 = 0 Move the constant term to the right: Add '-1.384615385' to each side of the equation. 1.384615385 + -2.076923077x + -1.384615385 + x2 = 0 + -1.384615385 Reorder the terms: 1.384615385 + -1.384615385 + -2.076923077x + x2 = 0 + -1.384615385 Combine like terms: 1.384615385 + -1.384615385 = 0.000000000 0.000000000 + -2.076923077x + x2 = 0 + -1.384615385 -2.076923077x + x2 = 0 + -1.384615385 Combine like terms: 0 + -1.384615385 = -1.384615385 -2.076923077x + x2 = -1.384615385 The x term is -2.076923077x. Take half its coefficient (-1.038461539). Square it (1.078402368) and add it to both sides. Add '1.078402368' to each side of the equation. -2.076923077x + 1.078402368 + x2 = -1.384615385 + 1.078402368 Reorder the terms: 1.078402368 + -2.076923077x + x2 = -1.384615385 + 1.078402368 Combine like terms: -1.384615385 + 1.078402368 = -0.306213017 1.078402368 + -2.076923077x + x2 = -0.306213017 Factor a perfect square on the left side: (x + -1.038461539)(x + -1.038461539) = -0.306213017 Can't calculate square root of the right side. The solution to this equation could not be determined.
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