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Simplifying 0 = 5t2 + 3t3 Solving 0 = 5t2 + 3t3 Solving for variable 't'. Remove the zero: -5t2 + -3t3 = 5t2 + 3t3 + -5t2 + -3t3 Reorder the terms: -5t2 + -3t3 = 5t2 + -5t2 + 3t3 + -3t3 Combine like terms: 5t2 + -5t2 = 0 -5t2 + -3t3 = 0 + 3t3 + -3t3 -5t2 + -3t3 = 3t3 + -3t3 Combine like terms: 3t3 + -3t3 = 0 -5t2 + -3t3 = 0 Factor out the Greatest Common Factor (GCF), '-1t2'. -1t2(5 + 3t) = 0 Ignore the factor -1.Subproblem 1
Set the factor 't2' equal to zero and attempt to solve: Simplifying t2 = 0 Solving t2 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t2 = 0 Take the square root of each side: t = {0}Subproblem 2
Set the factor '(5 + 3t)' equal to zero and attempt to solve: Simplifying 5 + 3t = 0 Solving 5 + 3t = 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 + 3t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3t = 0 + -5 3t = 0 + -5 Combine like terms: 0 + -5 = -5 3t = -5 Divide each side by '3'. t = -1.666666667 Simplifying t = -1.666666667Solution
t = {0, -1.666666667}
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