x^2+18x+90=1

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Solution for x^2+18x+90=1 equation:


Simplifying
x2 + 18x + 90 = 1

Reorder the terms:
90 + 18x + x2 = 1

Solving
90 + 18x + x2 = 1

Solving for variable 'x'.

Reorder the terms:
90 + -1 + 18x + x2 = 1 + -1

Combine like terms: 90 + -1 = 89
89 + 18x + x2 = 1 + -1

Combine like terms: 1 + -1 = 0
89 + 18x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-89' to each side of the equation.
89 + 18x + -89 + x2 = 0 + -89

Reorder the terms:
89 + -89 + 18x + x2 = 0 + -89

Combine like terms: 89 + -89 = 0
0 + 18x + x2 = 0 + -89
18x + x2 = 0 + -89

Combine like terms: 0 + -89 = -89
18x + x2 = -89

The x term is 18x.  Take half its coefficient (9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
18x + 81 + x2 = -89 + 81

Reorder the terms:
81 + 18x + x2 = -89 + 81

Combine like terms: -89 + 81 = -8
81 + 18x + x2 = -8

Factor a perfect square on the left side:
(x + 9)(x + 9) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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