8t(6t+2)+t(4t+3)=

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Solution for 8t(6t+2)+t(4t+3)= equation: 


Simplifying
8t(6t + 2) + t(4t + 3) = 0

Reorder the terms:
8t(2 + 6t) + t(4t + 3) = 0
(2 * 8t + 6t * 8t) + t(4t + 3) = 0
(16t + 48t2) + t(4t + 3) = 0

Reorder the terms:
16t + 48t2 + t(3 + 4t) = 0
16t + 48t2 + (3 * t + 4t * t) = 0
16t + 48t2 + (3t + 4t2) = 0

Reorder the terms:
16t + 3t + 48t2 + 4t2 = 0

Combine like terms: 16t + 3t = 19t
19t + 48t2 + 4t2 = 0

Combine like terms: 48t2 + 4t2 = 52t2
19t + 52t2 = 0

Solving
19t + 52t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(19 + 52t) = 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 '(19 + 52t)' equal to zero and attempt to solve:

Simplifying
19 + 52t = 0

Solving
19 + 52t = 0

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

Add '-19' to each side of the equation.
19 + -19 + 52t = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 52t = 0 + -19
52t = 0 + -19

Combine like terms: 0 + -19 = -19
52t = -19

Divide each side by '52'.
t = -0.3653846154

Simplifying
t = -0.3653846154
Solution
t = {0, -0.3653846154}

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