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Simplifying 0 = -5t2 + 20t + 0 Reorder the terms: 0 = 0 + 20t + -5t2 Remove the zero: 0 = 20t + -5t2 Solving 0 = 20t + -5t2 Solving for variable 't'. Remove the zero: -20t + 5t2 = 20t + -5t2 + -20t + 5t2 Reorder the terms: -20t + 5t2 = 20t + -20t + -5t2 + 5t2 Combine like terms: 20t + -20t = 0 -20t + 5t2 = 0 + -5t2 + 5t2 -20t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 -20t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), '5t'. 5t(-4 + 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 '(-4 + t)' equal to zero and attempt to solve: Simplifying -4 + t = 0 Solving -4 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + t = 0 + 4 t = 0 + 4 Combine like terms: 0 + 4 = 4 t = 4 Simplifying t = 4Solution
t = {0, 4}
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