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Simplifying 2t2 = -60t Solving 2t2 = -60t Solving for variable 't'. Reorder the terms: 60t + 2t2 = -60t + 60t Combine like terms: -60t + 60t = 0 60t + 2t2 = 0 Factor out the Greatest Common Factor (GCF), '2t'. 2t(30 + t) = 0 Ignore the factor 2.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 '(30 + t)' equal to zero and attempt to solve: Simplifying 30 + t = 0 Solving 30 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + t = 0 + -30 Combine like terms: 30 + -30 = 0 0 + t = 0 + -30 t = 0 + -30 Combine like terms: 0 + -30 = -30 t = -30 Simplifying t = -30Solution
t = {0, -30}
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