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Simplifying 14x2 + -15x + 14 = 0 Reorder the terms: 14 + -15x + 14x2 = 0 Solving 14 + -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'. 1 + -1.071428571x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.071428571x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1.071428571x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.071428571x + x2 = 0 + -1 -1.071428571x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.071428571x + x2 = -1 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 = -1 + 0.2869897957 Reorder the terms: 0.2869897957 + -1.071428571x + x2 = -1 + 0.2869897957 Combine like terms: -1 + 0.2869897957 = -0.7130102043 0.2869897957 + -1.071428571x + x2 = -0.7130102043 Factor a perfect square on the left side: (x + -0.5357142855)(x + -0.5357142855) = -0.7130102043 Can't calculate square root of the right side. The solution to this equation could not be determined.
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