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Simplifying 0 = -5t2 + 110t Reorder the terms: 0 = 110t + -5t2 Solving 0 = 110t + -5t2 Solving for variable 't'. Remove the zero: -110t + 5t2 = 110t + -5t2 + -110t + 5t2 Reorder the terms: -110t + 5t2 = 110t + -110t + -5t2 + 5t2 Combine like terms: 110t + -110t = 0 -110t + 5t2 = 0 + -5t2 + 5t2 -110t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 -110t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), '5t'. 5t(-22 + 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 '(-22 + t)' equal to zero and attempt to solve: Simplifying -22 + t = 0 Solving -22 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + t = 0 + 22 Combine like terms: -22 + 22 = 0 0 + t = 0 + 22 t = 0 + 22 Combine like terms: 0 + 22 = 22 t = 22 Simplifying t = 22Solution
t = {0, 22}
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