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Simplifying 0 = 162t + -19t2 Solving 0 = 162t + -19t2 Solving for variable 't'. Remove the zero: -162t + 19t2 = 162t + -19t2 + -162t + 19t2 Reorder the terms: -162t + 19t2 = 162t + -162t + -19t2 + 19t2 Combine like terms: 162t + -162t = 0 -162t + 19t2 = 0 + -19t2 + 19t2 -162t + 19t2 = -19t2 + 19t2 Combine like terms: -19t2 + 19t2 = 0 -162t + 19t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-162 + 19t) = 0Subproblem 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 '(-162 + 19t)' equal to zero and attempt to solve: Simplifying -162 + 19t = 0 Solving -162 + 19t = 0 Move all terms containing t to the left, all other terms to the right. Add '162' to each side of the equation. -162 + 162 + 19t = 0 + 162 Combine like terms: -162 + 162 = 0 0 + 19t = 0 + 162 19t = 0 + 162 Combine like terms: 0 + 162 = 162 19t = 162 Divide each side by '19'. t = 8.526315789 Simplifying t = 8.526315789Solution
t = {0, 8.526315789}
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