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Simplifying 2t5 + -14t4 + 20t4 = 0 Reorder the terms: -14t4 + 20t4 + 2t5 = 0 Combine like terms: -14t4 + 20t4 = 6t4 6t4 + 2t5 = 0 Solving 6t4 + 2t5 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t4'. 2t4(3 + t) = 0 Ignore the factor 2.Subproblem 1
Set the factor 't4' equal to zero and attempt to solve: Simplifying t4 = 0 Solving t4 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t4 = 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 '(3 + t)' equal to zero and attempt to solve: Simplifying 3 + t = 0 Solving 3 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + t = 0 + -3 t = 0 + -3 Combine like terms: 0 + -3 = -3 t = -3 Simplifying t = -3Solution
t = {-3}
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