8t^2+40t+100=0

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Solution for 8t^2+40t+100=0 equation: 


Simplifying
8t2 + 40t + 100 = 0

Reorder the terms:
100 + 40t + 8t2 = 0

Solving
100 + 40t + 8t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4'.
4(25 + 10t + 2t2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(25 + 10t + 2t2)' equal to zero and attempt to solve:

Simplifying
25 + 10t + 2t2 = 0

Solving
25 + 10t + 2t2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
12.5 + 5t + t2 = 0

Move the constant term to the right:

Add '-12.5' to each side of the equation.
12.5 + 5t + -12.5 + t2 = 0 + -12.5

Reorder the terms:
12.5 + -12.5 + 5t + t2 = 0 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 5t + t2 = 0 + -12.5
5t + t2 = 0 + -12.5

Combine like terms: 0 + -12.5 = -12.5
5t + t2 = -12.5

The t term is 5t.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5t + 6.25 + t2 = -12.5 + 6.25

Reorder the terms:
6.25 + 5t + t2 = -12.5 + 6.25

Combine like terms: -12.5 + 6.25 = -6.25
6.25 + 5t + t2 = -6.25

Factor a perfect square on the left side:
(t + 2.5)(t + 2.5) = -6.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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