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Simplifying 5t2 + -60t = 0 Reorder the terms: -60t + 5t2 = 0 Solving -60t + 5t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '5t'. 5t(-12 + 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 '(-12 + t)' equal to zero and attempt to solve: Simplifying -12 + t = 0 Solving -12 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + t = 0 + 12 t = 0 + 12 Combine like terms: 0 + 12 = 12 t = 12 Simplifying t = 12Solution
t = {0, 12}
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