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Simplifying (5t)(5t) = 7t Remove parenthesis around (5t) 5t(5t) = 7t Remove parenthesis around (5t) 5t * 5t = 7t Reorder the terms for easier multiplication: 5 * 5t * t = 7t Multiply 5 * 5 25t * t = 7t Multiply t * t 25t2 = 7t Solving 25t2 = 7t Solving for variable 't'. Reorder the terms: -7t + 25t2 = 7t + -7t Combine like terms: 7t + -7t = 0 -7t + 25t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-7 + 25t) = 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 '(-7 + 25t)' equal to zero and attempt to solve: Simplifying -7 + 25t = 0 Solving -7 + 25t = 0 Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 25t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 25t = 0 + 7 25t = 0 + 7 Combine like terms: 0 + 7 = 7 25t = 7 Divide each side by '25'. t = 0.28 Simplifying t = 0.28Solution
t = {0, 0.28}
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