t(2t+5)=0

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Solution for t(2t+5)=0 equation:


Simplifying
t(2t + 5) = 0

Reorder the terms:
t(5 + 2t) = 0
(5 * t + 2t * t) = 0
(5t + 2t2) = 0

Solving
5t + 2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(5 + 2t) = 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 '(5 + 2t)' equal to zero and attempt to solve: Simplifying 5 + 2t = 0 Solving 5 + 2t = 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 + 2t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2t = 0 + -5 2t = 0 + -5 Combine like terms: 0 + -5 = -5 2t = -5 Divide each side by '2'. t = -2.5 Simplifying t = -2.5

Solution

t = {0, -2.5}

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