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Simplifying (4d2 + 7e3 + 12f) + (3d2 + 6e3 + 2f) = 0 Remove parenthesis around (4d2 + 7e3 + 12f) 4d2 + 7e3 + 12f + (3d2 + 6e3 + 2f) = 0 Remove parenthesis around (3d2 + 6e3 + 2f) 4d2 + 7e3 + 12f + 3d2 + 6e3 + 2f = 0 Reorder the terms: 4d2 + 3d2 + 7e3 + 6e3 + 12f + 2f = 0 Combine like terms: 4d2 + 3d2 = 7d2 7d2 + 7e3 + 6e3 + 12f + 2f = 0 Combine like terms: 7e3 + 6e3 = 13e3 7d2 + 13e3 + 12f + 2f = 0 Combine like terms: 12f + 2f = 14f 7d2 + 13e3 + 14f = 0 Solving 7d2 + 13e3 + 14f = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13e3' to each side of the equation. 7d2 + 13e3 + -13e3 + 14f = 0 + -13e3 Combine like terms: 13e3 + -13e3 = 0 7d2 + 0 + 14f = 0 + -13e3 7d2 + 14f = 0 + -13e3 Remove the zero: 7d2 + 14f = -13e3 Add '-14f' to each side of the equation. 7d2 + 14f + -14f = -13e3 + -14f Combine like terms: 14f + -14f = 0 7d2 + 0 = -13e3 + -14f 7d2 = -13e3 + -14f Divide each side by '7'. d2 = -1.857142857e3 + -2f Simplifying d2 = -1.857142857e3 + -2f Reorder the terms: d2 + 1.857142857e3 + 2f = -1.857142857e3 + 1.857142857e3 + -2f + 2f Combine like terms: -1.857142857e3 + 1.857142857e3 = 0.000000000 d2 + 1.857142857e3 + 2f = 0.000000000 + -2f + 2f d2 + 1.857142857e3 + 2f = -2f + 2f Combine like terms: -2f + 2f = 0 d2 + 1.857142857e3 + 2f = 0 The solution to this equation could not be determined.
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