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Simplifying t3 + -256t = 0 Reorder the terms: -256t + t3 = 0 Solving -256t + t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-256 + t2) = 0 Factor a difference between two squares. t((16 + t)(-16 + 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 + t)' equal to zero and attempt to solve: Simplifying 16 + t = 0 Solving 16 + t = 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 + t = 0 + -16 Combine like terms: 16 + -16 = 0 0 + t = 0 + -16 t = 0 + -16 Combine like terms: 0 + -16 = -16 t = -16 Simplifying t = -16Subproblem 3
Set the factor '(-16 + t)' equal to zero and attempt to solve: Simplifying -16 + t = 0 Solving -16 + t = 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 + t = 0 + 16 Combine like terms: -16 + 16 = 0 0 + t = 0 + 16 t = 0 + 16 Combine like terms: 0 + 16 = 16 t = 16 Simplifying t = 16Solution
t = {0, -16, 16}
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