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Simplifying 2t4 + t3 + -14r2 + 5t + 6 = 0 Reorder the terms: 6 + -14r2 + 5t + t3 + 2t4 = 0 Solving 6 + -14r2 + 5t + t3 + 2t4 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -14r2 + 5t + t3 + -6 + 2t4 = 0 + -6 Reorder the terms: 6 + -6 + -14r2 + 5t + t3 + 2t4 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -14r2 + 5t + t3 + 2t4 = 0 + -6 -14r2 + 5t + t3 + 2t4 = 0 + -6 Combine like terms: 0 + -6 = -6 -14r2 + 5t + t3 + 2t4 = -6 Add '-5t' to each side of the equation. -14r2 + 5t + t3 + -5t + 2t4 = -6 + -5t Reorder the terms: -14r2 + 5t + -5t + t3 + 2t4 = -6 + -5t Combine like terms: 5t + -5t = 0 -14r2 + 0 + t3 + 2t4 = -6 + -5t -14r2 + t3 + 2t4 = -6 + -5t Add '-1t3' to each side of the equation. -14r2 + t3 + -1t3 + 2t4 = -6 + -5t + -1t3 Combine like terms: t3 + -1t3 = 0 -14r2 + 0 + 2t4 = -6 + -5t + -1t3 -14r2 + 2t4 = -6 + -5t + -1t3 Add '-2t4' to each side of the equation. -14r2 + 2t4 + -2t4 = -6 + -5t + -1t3 + -2t4 Combine like terms: 2t4 + -2t4 = 0 -14r2 + 0 = -6 + -5t + -1t3 + -2t4 -14r2 = -6 + -5t + -1t3 + -2t4 Divide each side by '-14'. r2 = 0.4285714286 + 0.3571428571t + 0.07142857143t3 + 0.1428571429t4 Simplifying r2 = 0.4285714286 + 0.3571428571t + 0.07142857143t3 + 0.1428571429t4 Reorder the terms: -0.4285714286 + r2 + -0.3571428571t + -0.07142857143t3 + -0.1428571429t4 = 0.4285714286 + 0.3571428571t + 0.07142857143t3 + 0.1428571429t4 + -0.4285714286 + -0.3571428571t + -0.07142857143t3 + -0.1428571429t4 Reorder the terms: -0.4285714286 + r2 + -0.3571428571t + -0.07142857143t3 + -0.1428571429t4 = 0.4285714286 + -0.4285714286 + 0.3571428571t + -0.3571428571t + 0.07142857143t3 + -0.07142857143t3 + 0.1428571429t4 + -0.1428571429t4 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 -0.4285714286 + r2 + -0.3571428571t + -0.07142857143t3 + -0.1428571429t4 = 0.0000000000 + 0.3571428571t + -0.3571428571t + 0.07142857143t3 + -0.07142857143t3 + 0.1428571429t4 + -0.1428571429t4 -0.4285714286 + r2 + -0.3571428571t + -0.07142857143t3 + -0.1428571429t4 = 0.3571428571t + -0.3571428571t + 0.07142857143t3 + -0.07142857143t3 + 0.1428571429t4 + -0.1428571429t4 Combine like terms: 0.3571428571t + -0.3571428571t = 0.0000000000 -0.4285714286 + r2 + -0.3571428571t + -0.07142857143t3 + -0.1428571429t4 = 0.0000000000 + 0.07142857143t3 + -0.07142857143t3 + 0.1428571429t4 + -0.1428571429t4 -0.4285714286 + r2 + -0.3571428571t + -0.07142857143t3 + -0.1428571429t4 = 0.07142857143t3 + -0.07142857143t3 + 0.1428571429t4 + -0.1428571429t4 Combine like terms: 0.07142857143t3 + -0.07142857143t3 = 0.00000000000 -0.4285714286 + r2 + -0.3571428571t + -0.07142857143t3 + -0.1428571429t4 = 0.00000000000 + 0.1428571429t4 + -0.1428571429t4 -0.4285714286 + r2 + -0.3571428571t + -0.07142857143t3 + -0.1428571429t4 = 0.1428571429t4 + -0.1428571429t4 Combine like terms: 0.1428571429t4 + -0.1428571429t4 = 0.0000000000 -0.4285714286 + r2 + -0.3571428571t + -0.07142857143t3 + -0.1428571429t4 = 0.0000000000 The solution to this equation could not be determined.
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