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Simplifying t20 + -1t4 = 0 Reorder the terms: -1t4 + t20 = 0 Solving -1t4 + t20 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't4'. t4(-1 + t16) = 0 Factor a difference between two squares. t4((1 + t8)(-1 + t8)) = 0 Factor a difference between two squares. t4((1 + t8)((1 + t4)(-1 + t4))) = 0 Factor a difference between two squares. t4((1 + t8)((1 + t4)((1 + t2)(-1 + t2)))) = 0 Factor a difference between two squares. t4((1 + t8)((1 + t4)((1 + t2)((1 + t)(-1 + t))))) = 0Subproblem 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 '(1 + t8)' equal to zero and attempt to solve: Simplifying 1 + t8 = 0 Solving 1 + t8 = 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 + t8 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t8 = 0 + -1 t8 = 0 + -1 Combine like terms: 0 + -1 = -1 t8 = -1 Simplifying t8 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + t4)' equal to zero and attempt to solve: Simplifying 1 + t4 = 0 Solving 1 + t4 = 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 + t4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t4 = 0 + -1 t4 = 0 + -1 Combine like terms: 0 + -1 = -1 t4 = -1 Simplifying t4 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(1 + t2)' equal to zero and attempt to solve: Simplifying 1 + t2 = 0 Solving 1 + t2 = 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 + t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t2 = 0 + -1 t2 = 0 + -1 Combine like terms: 0 + -1 = -1 t2 = -1 Simplifying t2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 5
Set the factor '(1 + t)' equal to zero and attempt to solve: Simplifying 1 + t = 0 Solving 1 + t = 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 + t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t = 0 + -1 t = 0 + -1 Combine like terms: 0 + -1 = -1 t = -1 Simplifying t = -1Subproblem 6
Set the factor '(-1 + t)' equal to zero and attempt to solve: Simplifying -1 + t = 0 Solving -1 + t = 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 + t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + t = 0 + 1 t = 0 + 1 Combine like terms: 0 + 1 = 1 t = 1 Simplifying t = 1Solution
t = {-1, 1}
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