(x^2+14x+240)=0

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Solution for (x^2+14x+240)=0 equation:


Simplifying
(x2 + 14x + 240) = 0

Reorder the terms:
(240 + 14x + x2) = 0

Remove parenthesis around (240 + 14x + x2)
240 + 14x + x2 = 0

Solving
240 + 14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-240' to each side of the equation.
240 + 14x + -240 + x2 = 0 + -240

Reorder the terms:
240 + -240 + 14x + x2 = 0 + -240

Combine like terms: 240 + -240 = 0
0 + 14x + x2 = 0 + -240
14x + x2 = 0 + -240

Combine like terms: 0 + -240 = -240
14x + x2 = -240

The x term is 14x.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x + 49 + x2 = -240 + 49

Reorder the terms:
49 + 14x + x2 = -240 + 49

Combine like terms: -240 + 49 = -191
49 + 14x + x2 = -191

Factor a perfect square on the left side:
(x + 7)(x + 7) = -191

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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