3969+x+x^2=2401

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Solution for 3969+x+x^2=2401 equation:


Simplifying
3969 + x + x2 = 2401

Solving
3969 + x + x2 = 2401

Solving for variable 'x'.

Reorder the terms:
3969 + -2401 + x + x2 = 2401 + -2401

Combine like terms: 3969 + -2401 = 1568
1568 + x + x2 = 2401 + -2401

Combine like terms: 2401 + -2401 = 0
1568 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1568' to each side of the equation.
1568 + x + -1568 + x2 = 0 + -1568

Reorder the terms:
1568 + -1568 + x + x2 = 0 + -1568

Combine like terms: 1568 + -1568 = 0
0 + x + x2 = 0 + -1568
x + x2 = 0 + -1568

Combine like terms: 0 + -1568 = -1568
x + x2 = -1568

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = -1568 + 0.25

Reorder the terms:
0.25 + x + x2 = -1568 + 0.25

Combine like terms: -1568 + 0.25 = -1567.75
0.25 + x + x2 = -1567.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1567.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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