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Simplifying 5t2 + 99t = 0 Reorder the terms: 99t + 5t2 = 0 Solving 99t + 5t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(99 + 5t) = 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 '(99 + 5t)' equal to zero and attempt to solve: Simplifying 99 + 5t = 0 Solving 99 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + -99 + 5t = 0 + -99 Combine like terms: 99 + -99 = 0 0 + 5t = 0 + -99 5t = 0 + -99 Combine like terms: 0 + -99 = -99 5t = -99 Divide each side by '5'. t = -19.8 Simplifying t = -19.8Solution
t = {0, -19.8}
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