x^2+40x+800=0

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Solution for x^2+40x+800=0 equation:


Simplifying
x2 + 40x + 800 = 0

Reorder the terms:
800 + 40x + x2 = 0

Solving
800 + 40x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-800' to each side of the equation.
800 + 40x + -800 + x2 = 0 + -800

Reorder the terms:
800 + -800 + 40x + x2 = 0 + -800

Combine like terms: 800 + -800 = 0
0 + 40x + x2 = 0 + -800
40x + x2 = 0 + -800

Combine like terms: 0 + -800 = -800
40x + x2 = -800

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 = -800 + 400

Reorder the terms:
400 + 40x + x2 = -800 + 400

Combine like terms: -800 + 400 = -400
400 + 40x + x2 = -400

Factor a perfect square on the left side:
(x + 20)(x + 20) = -400

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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