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Simplifying 35x2 + 27x + 18 = 0 Reorder the terms: 18 + 27x + 35x2 = 0 Solving 18 + 27x + 35x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 0.5142857143 + 0.7714285714x + x2 = 0 Move the constant term to the right: Add '-0.5142857143' to each side of the equation. 0.5142857143 + 0.7714285714x + -0.5142857143 + x2 = 0 + -0.5142857143 Reorder the terms: 0.5142857143 + -0.5142857143 + 0.7714285714x + x2 = 0 + -0.5142857143 Combine like terms: 0.5142857143 + -0.5142857143 = 0.0000000000 0.0000000000 + 0.7714285714x + x2 = 0 + -0.5142857143 0.7714285714x + x2 = 0 + -0.5142857143 Combine like terms: 0 + -0.5142857143 = -0.5142857143 0.7714285714x + x2 = -0.5142857143 The x term is 0.7714285714x. Take half its coefficient (0.3857142857). Square it (0.1487755102) and add it to both sides. Add '0.1487755102' to each side of the equation. 0.7714285714x + 0.1487755102 + x2 = -0.5142857143 + 0.1487755102 Reorder the terms: 0.1487755102 + 0.7714285714x + x2 = -0.5142857143 + 0.1487755102 Combine like terms: -0.5142857143 + 0.1487755102 = -0.3655102041 0.1487755102 + 0.7714285714x + x2 = -0.3655102041 Factor a perfect square on the left side: (x + 0.3857142857)(x + 0.3857142857) = -0.3655102041 Can't calculate square root of the right side. The solution to this equation could not be determined.
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