x^2+2.1x+36.4=0

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Solution for x^2+2.1x+36.4=0 equation:


Simplifying
x2 + 2.1x + 36.4 = 0

Reorder the terms:
36.4 + 2.1x + x2 = 0

Solving
36.4 + 2.1x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-36.4' to each side of the equation.
36.4 + 2.1x + -36.4 + x2 = 0 + -36.4

Reorder the terms:
36.4 + -36.4 + 2.1x + x2 = 0 + -36.4

Combine like terms: 36.4 + -36.4 = 0.0
0.0 + 2.1x + x2 = 0 + -36.4
2.1x + x2 = 0 + -36.4

Combine like terms: 0 + -36.4 = -36.4
2.1x + x2 = -36.4

The x term is 2.1x.  Take half its coefficient (1.05).
Square it (1.1025) and add it to both sides.

Add '1.1025' to each side of the equation.
2.1x + 1.1025 + x2 = -36.4 + 1.1025

Reorder the terms:
1.1025 + 2.1x + x2 = -36.4 + 1.1025

Combine like terms: -36.4 + 1.1025 = -35.2975
1.1025 + 2.1x + x2 = -35.2975

Factor a perfect square on the left side:
(x + 1.05)(x + 1.05) = -35.2975

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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