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Simplifying t(6t + 5) = 0 Reorder the terms: t(5 + 6t) = 0 (5 * t + 6t * t) = 0 (5t + 6t2) = 0 Solving 5t + 6t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(5 + 6t) = 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 '(5 + 6t)' equal to zero and attempt to solve: Simplifying 5 + 6t = 0 Solving 5 + 6t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6t = 0 + -5 6t = 0 + -5 Combine like terms: 0 + -5 = -5 6t = -5 Divide each side by '6'. t = -0.8333333333 Simplifying t = -0.8333333333Solution
t = {0, -0.8333333333}
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