t(4t+11)=0

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Solution for t(4t+11)=0 equation: 


Simplifying
t(4t + 11) = 0

Reorder the terms:
t(11 + 4t) = 0
(11 * t + 4t * t) = 0
(11t + 4t2) = 0

Solving
11t + 4t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(11 + 4t) = 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 '(11 + 4t)' equal to zero and attempt to solve:

Simplifying
11 + 4t = 0

Solving
11 + 4t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + 4t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4t = 0 + -11
4t = 0 + -11

Combine like terms: 0 + -11 = -11
4t = -11

Divide each side by '4'.
t = -2.75

Simplifying
t = -2.75
Solution
t = {0, -2.75}

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