3t^2+13t=0

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Solution for 3t^2+13t=0 equation:


Simplifying
3t2 + 13t = 0

Reorder the terms:
13t + 3t2 = 0

Solving
13t + 3t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(13 + 3t) = 0

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 = 0

Subproblem 2

Set the factor '(13 + 3t)' equal to zero and attempt to solve: Simplifying 13 + 3t = 0 Solving 13 + 3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3t = 0 + -13 3t = 0 + -13 Combine like terms: 0 + -13 = -13 3t = -13 Divide each side by '3'. t = -4.333333333 Simplifying t = -4.333333333

Solution

t = {0, -4.333333333}

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