t(2t^2+10)=0

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Solution for t(2t^2+10)=0 equation:


Simplifying
t(2t2 + 10) = 0

Reorder the terms:
t(10 + 2t2) = 0
(10 * t + 2t2 * t) = 0
(10t + 2t3) = 0

Solving
10t + 2t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t'.
2t(5 + t2) = 0

Ignore the factor 2.

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 + t2)' equal to zero and attempt to solve: Simplifying 5 + t2 = 0 Solving 5 + t2 = 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 + t2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + t2 = 0 + -5 t2 = 0 + -5 Combine like terms: 0 + -5 = -5 t2 = -5 Simplifying t2 = -5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

t = {0}

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