x^2+840x+5248000=1219200

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Solution for x^2+840x+5248000=1219200 equation:


Simplifying
x2 + 840x + 5248000 = 1219200

Reorder the terms:
5248000 + 840x + x2 = 1219200

Solving
5248000 + 840x + x2 = 1219200

Solving for variable 'x'.

Reorder the terms:
5248000 + -1219200 + 840x + x2 = 1219200 + -1219200

Combine like terms: 5248000 + -1219200 = 4028800
4028800 + 840x + x2 = 1219200 + -1219200

Combine like terms: 1219200 + -1219200 = 0
4028800 + 840x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4028800' to each side of the equation.
4028800 + 840x + -4028800 + x2 = 0 + -4028800

Reorder the terms:
4028800 + -4028800 + 840x + x2 = 0 + -4028800

Combine like terms: 4028800 + -4028800 = 0
0 + 840x + x2 = 0 + -4028800
840x + x2 = 0 + -4028800

Combine like terms: 0 + -4028800 = -4028800
840x + x2 = -4028800

The x term is 840x.  Take half its coefficient (420).
Square it (176400) and add it to both sides.

Add '176400' to each side of the equation.
840x + 176400 + x2 = -4028800 + 176400

Reorder the terms:
176400 + 840x + x2 = -4028800 + 176400

Combine like terms: -4028800 + 176400 = -3852400
176400 + 840x + x2 = -3852400

Factor a perfect square on the left side:
(x + 420)(x + 420) = -3852400

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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