x^2+40x+704=0

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Solution for x^2+40x+704=0 equation:


Simplifying
x2 + 40x + 704 = 0

Reorder the terms:
704 + 40x + x2 = 0

Solving
704 + 40x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-704' to each side of the equation.
704 + 40x + -704 + x2 = 0 + -704

Reorder the terms:
704 + -704 + 40x + x2 = 0 + -704

Combine like terms: 704 + -704 = 0
0 + 40x + x2 = 0 + -704
40x + x2 = 0 + -704

Combine like terms: 0 + -704 = -704
40x + x2 = -704

The x term is 40x.  Take half its coefficient (20).
Square it (400) and add it to both sides.

Add '400' to each side of the equation.
40x + 400 + x2 = -704 + 400

Reorder the terms:
400 + 40x + x2 = -704 + 400

Combine like terms: -704 + 400 = -304
400 + 40x + x2 = -304

Factor a perfect square on the left side:
(x + 20)(x + 20) = -304

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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