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Simplifying 14x2 + -15x + 12 = 0 Reorder the terms: 12 + -15x + 14x2 = 0 Solving 12 + -15x + 14x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.8571428571 + -1.071428571x + x2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + -1.071428571x + -0.8571428571 + x2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + -1.071428571x + x2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + -1.071428571x + x2 = 0 + -0.8571428571 -1.071428571x + x2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 -1.071428571x + x2 = -0.8571428571 The x term is -1.071428571x. Take half its coefficient (-0.5357142855). Square it (0.2869897957) and add it to both sides. Add '0.2869897957' to each side of the equation. -1.071428571x + 0.2869897957 + x2 = -0.8571428571 + 0.2869897957 Reorder the terms: 0.2869897957 + -1.071428571x + x2 = -0.8571428571 + 0.2869897957 Combine like terms: -0.8571428571 + 0.2869897957 = -0.5701530614 0.2869897957 + -1.071428571x + x2 = -0.5701530614 Factor a perfect square on the left side: (x + -0.5357142855)(x + -0.5357142855) = -0.5701530614 Can't calculate square root of the right side. The solution to this equation could not be determined.
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