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Simplifying 7x2 + -24x + 72 = 0 Reorder the terms: 72 + -24x + 7x2 = 0 Solving 72 + -24x + 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'. 10.28571429 + -3.428571429x + x2 = 0 Move the constant term to the right: Add '-10.28571429' to each side of the equation. 10.28571429 + -3.428571429x + -10.28571429 + x2 = 0 + -10.28571429 Reorder the terms: 10.28571429 + -10.28571429 + -3.428571429x + x2 = 0 + -10.28571429 Combine like terms: 10.28571429 + -10.28571429 = 0.00000000 0.00000000 + -3.428571429x + x2 = 0 + -10.28571429 -3.428571429x + x2 = 0 + -10.28571429 Combine like terms: 0 + -10.28571429 = -10.28571429 -3.428571429x + x2 = -10.28571429 The x term is -3.428571429x. Take half its coefficient (-1.714285715). Square it (2.938775513) and add it to both sides. Add '2.938775513' to each side of the equation. -3.428571429x + 2.938775513 + x2 = -10.28571429 + 2.938775513 Reorder the terms: 2.938775513 + -3.428571429x + x2 = -10.28571429 + 2.938775513 Combine like terms: -10.28571429 + 2.938775513 = -7.346938777 2.938775513 + -3.428571429x + x2 = -7.346938777 Factor a perfect square on the left side: (x + -1.714285715)(x + -1.714285715) = -7.346938777 Can't calculate square root of the right side. The solution to this equation could not be determined.
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