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Simplifying 45t = 50t2 Solving 45t = 50t2 Solving for variable 't'. Combine like terms: 50t2 + -50t2 = 0 45t + -50t2 = 0 Factor out the Greatest Common Factor (GCF), '5t'. 5t(9 + -10t) = 0 Ignore the factor 5.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 '(9 + -10t)' equal to zero and attempt to solve: Simplifying 9 + -10t = 0 Solving 9 + -10t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -10t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10t = 0 + -9 -10t = 0 + -9 Combine like terms: 0 + -9 = -9 -10t = -9 Divide each side by '-10'. t = 0.9 Simplifying t = 0.9Solution
t = {0, 0.9}
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