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Simplifying 18dt3 + 36dt2 + 42dt = 0 Reorder the terms: 42dt + 36dt2 + 18dt3 = 0 Solving 42dt + 36dt2 + 18dt3 = 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), '6dt'. 6dt(7 + 6t + 3t2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'dt' equal to zero and attempt to solve: Simplifying dt = 0 Solving dt = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dt = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + 6t + 3t2)' equal to zero and attempt to solve: Simplifying 7 + 6t + 3t2 = 0 Solving 7 + 6t + 3t2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 6t + -7 + 3t2 = 0 + -7 Reorder the terms: 7 + -7 + 6t + 3t2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6t + 3t2 = 0 + -7 6t + 3t2 = 0 + -7 Combine like terms: 0 + -7 = -7 6t + 3t2 = -7 Add '-6t' to each side of the equation. 6t + -6t + 3t2 = -7 + -6t Combine like terms: 6t + -6t = 0 0 + 3t2 = -7 + -6t 3t2 = -7 + -6t Add '-3t2' to each side of the equation. 3t2 + -3t2 = -7 + -6t + -3t2 Combine like terms: 3t2 + -3t2 = 0 0 = -7 + -6t + -3t2 Simplifying 0 = -7 + -6t + -3t2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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