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Simplifying (-3t2) + (54t) = 0 Reorder the terms: (54t) + (-3t2) = 0 Solving (54t) + (-3t2) = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3t'. 3t(18 + (-1t)) = 0 Ignore the factor 3.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 '(18 + (-1t))' equal to zero and attempt to solve: Simplifying 18 + (-1t) = 0 Solving 18 + (-1t) = 0 Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + (-1t) = 0 + -18 Combine like terms: 18 + -18 = 0 0 + (-1t) = 0 + -18 (-1t) = 0 + -18 Combine like terms: 0 + -18 = -18 (-1t) = -18 Divide each side by '-1'. t = 18 Simplifying t = 18Solution
t = {0, 18}
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