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Simplifying t5 + -256t = 0 Reorder the terms: -256t + t5 = 0 Solving -256t + t5 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-256 + t4) = 0 Factor a difference between two squares. t((16 + t2)(-16 + t2)) = 0 Factor a difference between two squares. t((16 + t2)((4 + t)(-4 + t))) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(16 + t2)' equal to zero and attempt to solve: Simplifying 16 + t2 = 0 Solving 16 + t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + t2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + t2 = 0 + -16 t2 = 0 + -16 Combine like terms: 0 + -16 = -16 t2 = -16 Simplifying t2 = -16 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 '(4 + t)' equal to zero and attempt to solve: Simplifying 4 + t = 0 Solving 4 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + t = 0 + -4 t = 0 + -4 Combine like terms: 0 + -4 = -4 t = -4 Simplifying t = -4Subproblem 4
Set the factor '(-4 + t)' equal to zero and attempt to solve: Simplifying -4 + t = 0 Solving -4 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + t = 0 + 4 t = 0 + 4 Combine like terms: 0 + 4 = 4 t = 4 Simplifying t = 4Solution
t = {0, -4, 4}
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