t^2+4t+5=0

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Solution for t^2+4t+5=0 equation:


Simplifying
t2 + 4t + 5 = 0

Reorder the terms:
5 + 4t + t2 = 0

Solving
5 + 4t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 4t + -5 + t2 = 0 + -5

Reorder the terms:
5 + -5 + 4t + t2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4t + t2 = 0 + -5
4t + t2 = 0 + -5

Combine like terms: 0 + -5 = -5
4t + t2 = -5

The t term is 4t.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4t + 4 + t2 = -5 + 4

Reorder the terms:
4 + 4t + t2 = -5 + 4

Combine like terms: -5 + 4 = -1
4 + 4t + t2 = -1

Factor a perfect square on the left side:
(t + 2)(t + 2) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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