2t(3t+9)=0

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Solution for 2t(3t+9)=0 equation:


Simplifying
2t(3t + 9) = 0

Reorder the terms:
2t(9 + 3t) = 0
(9 * 2t + 3t * 2t) = 0
(18t + 6t2) = 0

Solving
18t + 6t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '6t'.
6t(3 + t) = 0

Ignore the factor 6.

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

Solution

t = {0, -3}

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