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Simplifying [35t + 80] * dt = 0 Reorder the terms: [80 + 35t] * dt = 0 Reorder the terms for easier multiplication: dt[80 + 35t] = 0 [80 * dt + 35t * dt] = 0 [80dt + 35dt2] = 0 Solving 80dt + 35dt2 = 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), '5dt'. 5dt(16 + 7t) = 0 Ignore the factor 5.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 '(16 + 7t)' equal to zero and attempt to solve: Simplifying 16 + 7t = 0 Solving 16 + 7t = 0 Move all terms containing d to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7t = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 7t = 0 + -16 7t = 0 + -16 Combine like terms: 0 + -16 = -16 7t = -16 Add '-7t' to each side of the equation. 7t + -7t = -16 + -7t Combine like terms: 7t + -7t = 0 0 = -16 + -7t Simplifying 0 = -16 + -7t 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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