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Simplifying 5t2 = 38t Solving 5t2 = 38t Solving for variable 't'. Reorder the terms: -38t + 5t2 = 38t + -38t Combine like terms: 38t + -38t = 0 -38t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-38 + 5t) = 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 '(-38 + 5t)' equal to zero and attempt to solve: Simplifying -38 + 5t = 0 Solving -38 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 5t = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 5t = 0 + 38 5t = 0 + 38 Combine like terms: 0 + 38 = 38 5t = 38 Divide each side by '5'. t = 7.6 Simplifying t = 7.6Solution
t = {0, 7.6}
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