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Simplifying 5t2 + 30t = 5t Reorder the terms: 30t + 5t2 = 5t Solving 30t + 5t2 = 5t Solving for variable 't'. Reorder the terms: 30t + -5t + 5t2 = 5t + -5t Combine like terms: 30t + -5t = 25t 25t + 5t2 = 5t + -5t Combine like terms: 5t + -5t = 0 25t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), '5t'. 5t(5 + t) = 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 '(5 + t)' equal to zero and attempt to solve: Simplifying 5 + t = 0 Solving 5 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + t = 0 + -5 t = 0 + -5 Combine like terms: 0 + -5 = -5 t = -5 Simplifying t = -5Solution
t = {0, -5}
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