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Simplifying 3x2 + 2.6x + 1.69 = 0 Reorder the terms: 1.69 + 2.6x + 3x2 = 0 Solving 1.69 + 2.6x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.5633333333 + 0.8666666667x + x2 = 0 Move the constant term to the right: Add '-0.5633333333' to each side of the equation. 0.5633333333 + 0.8666666667x + -0.5633333333 + x2 = 0 + -0.5633333333 Reorder the terms: 0.5633333333 + -0.5633333333 + 0.8666666667x + x2 = 0 + -0.5633333333 Combine like terms: 0.5633333333 + -0.5633333333 = 0.0000000000 0.0000000000 + 0.8666666667x + x2 = 0 + -0.5633333333 0.8666666667x + x2 = 0 + -0.5633333333 Combine like terms: 0 + -0.5633333333 = -0.5633333333 0.8666666667x + x2 = -0.5633333333 The x term is 0.8666666667x. Take half its coefficient (0.4333333334). Square it (0.1877777778) and add it to both sides. Add '0.1877777778' to each side of the equation. 0.8666666667x + 0.1877777778 + x2 = -0.5633333333 + 0.1877777778 Reorder the terms: 0.1877777778 + 0.8666666667x + x2 = -0.5633333333 + 0.1877777778 Combine like terms: -0.5633333333 + 0.1877777778 = -0.3755555555 0.1877777778 + 0.8666666667x + x2 = -0.3755555555 Factor a perfect square on the left side: (x + 0.4333333334)(x + 0.4333333334) = -0.3755555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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