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Simplifying 0 = t2 + -5t Reorder the terms: 0 = -5t + t2 Solving 0 = -5t + t2 Solving for variable 't'. Remove the zero: 5t + -1t2 = -5t + t2 + 5t + -1t2 Reorder the terms: 5t + -1t2 = -5t + 5t + t2 + -1t2 Combine like terms: -5t + 5t = 0 5t + -1t2 = 0 + t2 + -1t2 5t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 5t + -1t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(5 + -1t) = 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 '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5Solution
t = {0, 5}
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