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Simplifying 5t2 = 7t Solving 5t2 = 7t Solving for variable 't'. Reorder the terms: -7t + 5t2 = 7t + -7t Combine like terms: 7t + -7t = 0 -7t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-7 + 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 '(-7 + 5t)' equal to zero and attempt to solve: Simplifying -7 + 5t = 0 Solving -7 + 5t = 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 + 5t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5t = 0 + 7 5t = 0 + 7 Combine like terms: 0 + 7 = 7 5t = 7 Divide each side by '5'. t = 1.4 Simplifying t = 1.4Solution
t = {0, 1.4}
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