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Simplifying t(5t + 2) = 0 Reorder the terms: t(2 + 5t) = 0 (2 * t + 5t * t) = 0 (2t + 5t2) = 0 Solving 2t + 5t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(2 + 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 '(2 + 5t)' equal to zero and attempt to solve: Simplifying 2 + 5t = 0 Solving 2 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5t = 0 + -2 5t = 0 + -2 Combine like terms: 0 + -2 = -2 5t = -2 Divide each side by '5'. t = -0.4 Simplifying t = -0.4Solution
t = {0, -0.4}
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