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Simplifying 4t2 = 5t Solving 4t2 = 5t Solving for variable 't'. Reorder the terms: -5t + 4t2 = 5t + -5t Combine like terms: 5t + -5t = 0 -5t + 4t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-5 + 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 '(-5 + 4t)' equal to zero and attempt to solve: Simplifying -5 + 4t = 0 Solving -5 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4t = 0 + 5 4t = 0 + 5 Combine like terms: 0 + 5 = 5 4t = 5 Divide each side by '4'. t = 1.25 Simplifying t = 1.25Solution
t = {0, 1.25}
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