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Simplifying 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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