2218.25+69x+x^2=0

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Solution for 2218.25+69x+x^2=0 equation:


Simplifying
2218.25 + 69x + x2 = 0

Solving
2218.25 + 69x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-2218.25' to each side of the equation.
2218.25 + 69x + -2218.25 + x2 = 0 + -2218.25

Reorder the terms:
2218.25 + -2218.25 + 69x + x2 = 0 + -2218.25

Combine like terms: 2218.25 + -2218.25 = 0.00
0.00 + 69x + x2 = 0 + -2218.25
69x + x2 = 0 + -2218.25

Combine like terms: 0 + -2218.25 = -2218.25
69x + x2 = -2218.25

The x term is 69x.  Take half its coefficient (34.5).
Square it (1190.25) and add it to both sides.

Add '1190.25' to each side of the equation.
69x + 1190.25 + x2 = -2218.25 + 1190.25

Reorder the terms:
1190.25 + 69x + x2 = -2218.25 + 1190.25

Combine like terms: -2218.25 + 1190.25 = -1028
1190.25 + 69x + x2 = -1028

Factor a perfect square on the left side:
(x + 34.5)(x + 34.5) = -1028

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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