20t^2-3t^3=0

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Solution for 20t^2-3t^3=0 equation:


Simplifying
20t2 + -3t3 = 0

Solving
20t2 + -3t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't2'.
t2(20 + -3t) = 0

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 '(20 + -3t)' equal to zero and attempt to solve: Simplifying 20 + -3t = 0 Solving 20 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -3t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -3t = 0 + -20 -3t = 0 + -20 Combine like terms: 0 + -20 = -20 -3t = -20 Divide each side by '-3'. t = 6.666666667 Simplifying t = 6.666666667

Solution

t = {0, 6.666666667}

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