16l^2+112l+196=0

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Solution for 16l^2+112l+196=0 equation: 


Simplifying
16l2 + 112l + 196 = 0

Reorder the terms:
196 + 112l + 16l2 = 0

Solving
196 + 112l + 16l2 = 0

Solving for variable 'l'.

Factor out the Greatest Common Factor (GCF), '4'.
4(49 + 28l + 4l2) = 0

Factor a trinomial.
4((7 + 2l)(7 + 2l)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(7 + 2l)' equal to zero and attempt to solve:

Simplifying
7 + 2l = 0

Solving
7 + 2l = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2l = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2l = 0 + -7
2l = 0 + -7

Combine like terms: 0 + -7 = -7
2l = -7

Divide each side by '2'.
l = -3.5

Simplifying
l = -3.5

Subproblem 2
Set the factor '(7 + 2l)' equal to zero and attempt to solve:

Simplifying
7 + 2l = 0

Solving
7 + 2l = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2l = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2l = 0 + -7
2l = 0 + -7

Combine like terms: 0 + -7 = -7
2l = -7

Divide each side by '2'.
l = -3.5

Simplifying
l = -3.5
Solution
l = {-3.5, -3.5}

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