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Simplifying (-1t + r) * d + (7t + -4r) * dr = 0 Reorder the terms: (r + -1t) * d + (7t + -4r) * dr = 0 Reorder the terms for easier multiplication: d(r + -1t) + (7t + -4r) * dr = 0 (r * d + -1t * d) + (7t + -4r) * dr = 0 (dr + -1dt) + (7t + -4r) * dr = 0 Reorder the terms: dr + -1dt + (-4r + 7t) * dr = 0 Reorder the terms for easier multiplication: dr + -1dt + dr(-4r + 7t) = 0 dr + -1dt + (-4r * dr + 7t * dr) = 0 Reorder the terms: dr + -1dt + (7drt + -4dr2) = 0 dr + -1dt + (7drt + -4dr2) = 0 Reorder the terms: dr + 7drt + -4dr2 + -1dt = 0 Solving dr + 7drt + -4dr2 + -1dt = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'd'. d(r + 7rt + -4r2 + -1t) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(r + 7rt + -4r2 + -1t)' equal to zero and attempt to solve: Simplifying r + 7rt + -4r2 + -1t = 0 Solving r + 7rt + -4r2 + -1t = 0 Move all terms containing d to the left, all other terms to the right. Add '-1r' to each side of the equation. r + 7rt + -4r2 + -1r + -1t = 0 + -1r Reorder the terms: r + -1r + 7rt + -4r2 + -1t = 0 + -1r Combine like terms: r + -1r = 0 0 + 7rt + -4r2 + -1t = 0 + -1r 7rt + -4r2 + -1t = 0 + -1r Remove the zero: 7rt + -4r2 + -1t = -1r Add '-7rt' to each side of the equation. 7rt + -4r2 + -7rt + -1t = -1r + -7rt Reorder the terms: 7rt + -7rt + -4r2 + -1t = -1r + -7rt Combine like terms: 7rt + -7rt = 0 0 + -4r2 + -1t = -1r + -7rt -4r2 + -1t = -1r + -7rt Add '4r2' to each side of the equation. -4r2 + 4r2 + -1t = -1r + -7rt + 4r2 Combine like terms: -4r2 + 4r2 = 0 0 + -1t = -1r + -7rt + 4r2 -1t = -1r + -7rt + 4r2 Add 't' to each side of the equation. -1t + t = -1r + -7rt + 4r2 + t Combine like terms: -1t + t = 0 0 = -1r + -7rt + 4r2 + t Simplifying 0 = -1r + -7rt + 4r2 + t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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