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Simplifying 20t4 + 28t3 = 24t3 Reorder the terms: 28t3 + 20t4 = 24t3 Solving 28t3 + 20t4 = 24t3 Solving for variable 't'. Reorder the terms: 28t3 + -24t3 + 20t4 = 24t3 + -24t3 Combine like terms: 28t3 + -24t3 = 4t3 4t3 + 20t4 = 24t3 + -24t3 Combine like terms: 24t3 + -24t3 = 0 4t3 + 20t4 = 0 Factor out the Greatest Common Factor (GCF), '4t3'. 4t3(1 + 5t) = 0 Ignore the factor 4.Subproblem 1
Set the factor 't3' equal to zero and attempt to solve: Simplifying t3 = 0 Solving t3 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t3 = 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 '(1 + 5t)' equal to zero and attempt to solve: Simplifying 1 + 5t = 0 Solving 1 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5t = 0 + -1 5t = 0 + -1 Combine like terms: 0 + -1 = -1 5t = -1 Divide each side by '5'. t = -0.2 Simplifying t = -0.2Solution
t = {-0.2}
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