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Simplifying 5t2 + 7t = 0 Reorder the terms: 7t + 5t2 = 0 Solving 7t + 5t2 = 0 Solving for variable 't'. 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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