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Simplifying 10t2 = -33t Solving 10t2 = -33t Solving for variable 't'. Reorder the terms: 33t + 10t2 = -33t + 33t Combine like terms: -33t + 33t = 0 33t + 10t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(33 + 10t) = 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 '(33 + 10t)' equal to zero and attempt to solve: Simplifying 33 + 10t = 0 Solving 33 + 10t = 0 Move all terms containing t to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 10t = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 10t = 0 + -33 10t = 0 + -33 Combine like terms: 0 + -33 = -33 10t = -33 Divide each side by '10'. t = -3.3 Simplifying t = -3.3Solution
t = {0, -3.3}
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