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Simplifying (5t + -1t2) = t Remove parenthesis around (5t + -1t2) 5t + -1t2 = t Solving 5t + -1t2 = t Solving for variable 't'. Reorder the terms: 5t + -1t + -1t2 = t + -1t Combine like terms: 5t + -1t = 4t 4t + -1t2 = t + -1t Combine like terms: t + -1t = 0 4t + -1t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(4 + -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 '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 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 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4Solution
t = {0, 4}
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