l^2+2l+188=0

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Solution for l^2+2l+188=0 equation:


Simplifying
l2 + 2l + 188 = 0

Reorder the terms:
188 + 2l + l2 = 0

Solving
188 + 2l + l2 = 0

Solving for variable 'l'.

Begin completing the square.

Move the constant term to the right:

Add '-188' to each side of the equation.
188 + 2l + -188 + l2 = 0 + -188

Reorder the terms:
188 + -188 + 2l + l2 = 0 + -188

Combine like terms: 188 + -188 = 0
0 + 2l + l2 = 0 + -188
2l + l2 = 0 + -188

Combine like terms: 0 + -188 = -188
2l + l2 = -188

The l term is 2l.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2l + 1 + l2 = -188 + 1

Reorder the terms:
1 + 2l + l2 = -188 + 1

Combine like terms: -188 + 1 = -187
1 + 2l + l2 = -187

Factor a perfect square on the left side:
(l + 1)(l + 1) = -187

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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