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Simplifying 7x2 + -12x + 14 = 0 Reorder the terms: 14 + -12x + 7x2 = 0 Solving 14 + -12x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 2 + -1.714285714x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.714285714x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -1.714285714x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.714285714x + x2 = 0 + -2 -1.714285714x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.714285714x + x2 = -2 The x term is -1.714285714x. Take half its coefficient (-0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. -1.714285714x + 0.7346938773 + x2 = -2 + 0.7346938773 Reorder the terms: 0.7346938773 + -1.714285714x + x2 = -2 + 0.7346938773 Combine like terms: -2 + 0.7346938773 = -1.2653061227 0.7346938773 + -1.714285714x + x2 = -1.2653061227 Factor a perfect square on the left side: (x + -0.857142857)(x + -0.857142857) = -1.2653061227 Can't calculate square root of the right side. The solution to this equation could not be determined.
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