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Simplifying 4t2 + -81t = 0 Reorder the terms: -81t + 4t2 = 0 Solving -81t + 4t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-81 + 4t) = 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 '(-81 + 4t)' equal to zero and attempt to solve: Simplifying -81 + 4t = 0 Solving -81 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 4t = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 4t = 0 + 81 4t = 0 + 81 Combine like terms: 0 + 81 = 81 4t = 81 Divide each side by '4'. t = 20.25 Simplifying t = 20.25Solution
t = {0, 20.25}
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