x^2+28x+198=0

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Solution for x^2+28x+198=0 equation:


Simplifying
x2 + 28x + 198 = 0

Reorder the terms:
198 + 28x + x2 = 0

Solving
198 + 28x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-198' to each side of the equation.
198 + 28x + -198 + x2 = 0 + -198

Reorder the terms:
198 + -198 + 28x + x2 = 0 + -198

Combine like terms: 198 + -198 = 0
0 + 28x + x2 = 0 + -198
28x + x2 = 0 + -198

Combine like terms: 0 + -198 = -198
28x + x2 = -198

The x term is 28x.  Take half its coefficient (14).
Square it (196) and add it to both sides.

Add '196' to each side of the equation.
28x + 196 + x2 = -198 + 196

Reorder the terms:
196 + 28x + x2 = -198 + 196

Combine like terms: -198 + 196 = -2
196 + 28x + x2 = -2

Factor a perfect square on the left side:
(x + 14)(x + 14) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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