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Simplifying 16t2 + 256t = 0 Reorder the terms: 256t + 16t2 = 0 Solving 256t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16t'. 16t(16 + t) = 0 Ignore the factor 16.Subproblem 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 = -16Solution
t = {0, -16}
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