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Simplifying 2d * l + f * f + o * o + -2o * d * t = a * a * t * t + 2o * a * t + d * a * t * t Multiply d * l 2dl + f * f + o * o + -2o * d * t = a * a * t * t + 2o * a * t + d * a * t * t Multiply f * f 2dl + f2 + o * o + -2o * d * t = a * a * t * t + 2o * a * t + d * a * t * t Multiply o * o 2dl + f2 + o2 + -2o * d * t = a * a * t * t + 2o * a * t + d * a * t * t Multiply o * d 2dl + f2 + o2 + -2do * t = a * a * t * t + 2o * a * t + d * a * t * t Multiply do * t 2dl + f2 + o2 + -2dot = a * a * t * t + 2o * a * t + d * a * t * t Reorder the terms: 2dl + -2dot + f2 + o2 = a * a * t * t + 2o * a * t + d * a * t * t Multiply a * a 2dl + -2dot + f2 + o2 = a2 * t * t + 2o * a * t + d * a * t * t Multiply a2 * t 2dl + -2dot + f2 + o2 = a2t * t + 2o * a * t + d * a * t * t Multiply a2t * t 2dl + -2dot + f2 + o2 = a2t2 + 2o * a * t + d * a * t * t Multiply o * a 2dl + -2dot + f2 + o2 = a2t2 + 2ao * t + d * a * t * t Multiply ao * t 2dl + -2dot + f2 + o2 = a2t2 + 2aot + d * a * t * t Multiply d * a 2dl + -2dot + f2 + o2 = a2t2 + 2aot + ad * t * t Multiply ad * t 2dl + -2dot + f2 + o2 = a2t2 + 2aot + adt * t Multiply adt * t 2dl + -2dot + f2 + o2 = a2t2 + 2aot + adt2 Reorder the terms: 2dl + -2dot + f2 + o2 = adt2 + 2aot + a2t2 Solving 2dl + -2dot + f2 + o2 = adt2 + 2aot + a2t2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1adt2' to each side of the equation. 2dl + -2dot + f2 + -1adt2 + o2 = adt2 + 2aot + -1adt2 + a2t2 Reorder the terms: -1adt2 + 2dl + -2dot + f2 + o2 = adt2 + 2aot + -1adt2 + a2t2 Reorder the terms: -1adt2 + 2dl + -2dot + f2 + o2 = adt2 + -1adt2 + 2aot + a2t2 Combine like terms: adt2 + -1adt2 = 0 -1adt2 + 2dl + -2dot + f2 + o2 = 0 + 2aot + a2t2 -1adt2 + 2dl + -2dot + f2 + o2 = 2aot + a2t2 Add '-1f2' to each side of the equation. -1adt2 + 2dl + -2dot + f2 + -1f2 + o2 = 2aot + a2t2 + -1f2 Combine like terms: f2 + -1f2 = 0 -1adt2 + 2dl + -2dot + 0 + o2 = 2aot + a2t2 + -1f2 -1adt2 + 2dl + -2dot + o2 = 2aot + a2t2 + -1f2 Add '-1o2' to each side of the equation. -1adt2 + 2dl + -2dot + o2 + -1o2 = 2aot + a2t2 + -1f2 + -1o2 Combine like terms: o2 + -1o2 = 0 -1adt2 + 2dl + -2dot + 0 = 2aot + a2t2 + -1f2 + -1o2 -1adt2 + 2dl + -2dot = 2aot + a2t2 + -1f2 + -1o2 Reorder the terms: -1adt2 + -2aot + -1a2t2 + 2dl + -2dot + f2 + o2 = 2aot + a2t2 + -1f2 + -1o2 + -2aot + -1a2t2 + f2 + o2 Reorder the terms: -1adt2 + -2aot + -1a2t2 + 2dl + -2dot + f2 + o2 = 2aot + -2aot + a2t2 + -1a2t2 + -1f2 + f2 + -1o2 + o2 Combine like terms: 2aot + -2aot = 0 -1adt2 + -2aot + -1a2t2 + 2dl + -2dot + f2 + o2 = 0 + a2t2 + -1a2t2 + -1f2 + f2 + -1o2 + o2 -1adt2 + -2aot + -1a2t2 + 2dl + -2dot + f2 + o2 = a2t2 + -1a2t2 + -1f2 + f2 + -1o2 + o2 Combine like terms: a2t2 + -1a2t2 = 0 -1adt2 + -2aot + -1a2t2 + 2dl + -2dot + f2 + o2 = 0 + -1f2 + f2 + -1o2 + o2 -1adt2 + -2aot + -1a2t2 + 2dl + -2dot + f2 + o2 = -1f2 + f2 + -1o2 + o2 Combine like terms: -1f2 + f2 = 0 -1adt2 + -2aot + -1a2t2 + 2dl + -2dot + f2 + o2 = 0 + -1o2 + o2 -1adt2 + -2aot + -1a2t2 + 2dl + -2dot + f2 + o2 = -1o2 + o2 Combine like terms: -1o2 + o2 = 0 -1adt2 + -2aot + -1a2t2 + 2dl + -2dot + f2 + o2 = 0 The solution to this equation could not be determined.
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