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Simplifying (-3t2) + -10t = 0 Reorder the terms: -10t + (-3t2) = 0 Solving -10t + (-3t2) = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '-1t'. -1t(10 + (3t)) = 0 Ignore the factor -1.Subproblem 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 '(10 + (3t))' equal to zero and attempt to solve: Simplifying 10 + (3t) = 0 Solving 10 + (3t) = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + (3t) = 0 + -10 Combine like terms: 10 + -10 = 0 0 + (3t) = 0 + -10 (3t) = 0 + -10 Combine like terms: 0 + -10 = -10 (3t) = -10 Divide each side by '3'. t = -3.333333333 Simplifying t = -3.333333333Solution
t = {0, -3.333333333}
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