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Simplifying 0 = 16t4 + -4t3 Reorder the terms: 0 = -4t3 + 16t4 Solving 0 = -4t3 + 16t4 Solving for variable 't'. Remove the zero: 4t3 + -16t4 = -4t3 + 16t4 + 4t3 + -16t4 Reorder the terms: 4t3 + -16t4 = -4t3 + 4t3 + 16t4 + -16t4 Combine like terms: -4t3 + 4t3 = 0 4t3 + -16t4 = 0 + 16t4 + -16t4 4t3 + -16t4 = 16t4 + -16t4 Combine like terms: 16t4 + -16t4 = 0 4t3 + -16t4 = 0 Factor out the Greatest Common Factor (GCF), '4t3'. 4t3(1 + -4t) = 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 + -4t)' equal to zero and attempt to solve: Simplifying 1 + -4t = 0 Solving 1 + -4t = 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 + -4t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4t = 0 + -1 -4t = 0 + -1 Combine like terms: 0 + -1 = -1 -4t = -1 Divide each side by '-4'. t = 0.25 Simplifying t = 0.25Solution
t = {0.25}
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