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Simplifying 0 = 150t + -5t2 Solving 0 = 150t + -5t2 Solving for variable 't'. Remove the zero: -150t + 5t2 = 150t + -5t2 + -150t + 5t2 Reorder the terms: -150t + 5t2 = 150t + -150t + -5t2 + 5t2 Combine like terms: 150t + -150t = 0 -150t + 5t2 = 0 + -5t2 + 5t2 -150t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 -150t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), '5t'. 5t(-30 + 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 '(-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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