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Simplifying 8x2 + -2xy + 7h2 = 6 Reorder the terms: 7h2 + -2xy + 8x2 = 6 Solving 7h2 + -2xy + 8x2 = 6 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2xy' to each side of the equation. 7h2 + -2xy + 2xy + 8x2 = 6 + 2xy Combine like terms: -2xy + 2xy = 0 7h2 + 0 + 8x2 = 6 + 2xy 7h2 + 8x2 = 6 + 2xy Add '-8x2' to each side of the equation. 7h2 + 8x2 + -8x2 = 6 + 2xy + -8x2 Combine like terms: 8x2 + -8x2 = 0 7h2 + 0 = 6 + 2xy + -8x2 7h2 = 6 + 2xy + -8x2 Divide each side by '7'. h2 = 0.8571428571 + 0.2857142857xy + -1.142857143x2 Simplifying h2 = 0.8571428571 + 0.2857142857xy + -1.142857143x2 Reorder the terms: -0.8571428571 + h2 + -0.2857142857xy + 1.142857143x2 = 0.8571428571 + 0.2857142857xy + -1.142857143x2 + -0.8571428571 + -0.2857142857xy + 1.142857143x2 Reorder the terms: -0.8571428571 + h2 + -0.2857142857xy + 1.142857143x2 = 0.8571428571 + -0.8571428571 + 0.2857142857xy + -0.2857142857xy + -1.142857143x2 + 1.142857143x2 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 -0.8571428571 + h2 + -0.2857142857xy + 1.142857143x2 = 0.0000000000 + 0.2857142857xy + -0.2857142857xy + -1.142857143x2 + 1.142857143x2 -0.8571428571 + h2 + -0.2857142857xy + 1.142857143x2 = 0.2857142857xy + -0.2857142857xy + -1.142857143x2 + 1.142857143x2 Combine like terms: 0.2857142857xy + -0.2857142857xy = 0.0000000000 -0.8571428571 + h2 + -0.2857142857xy + 1.142857143x2 = 0.0000000000 + -1.142857143x2 + 1.142857143x2 -0.8571428571 + h2 + -0.2857142857xy + 1.142857143x2 = -1.142857143x2 + 1.142857143x2 Combine like terms: -1.142857143x2 + 1.142857143x2 = 0.000000000 -0.8571428571 + h2 + -0.2857142857xy + 1.142857143x2 = 0.000000000 The solution to this equation could not be determined.
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