x^2+9x+90=0

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Solution for x^2+9x+90=0 equation:


Simplifying
x2 + 9x + 90 = 0

Reorder the terms:
90 + 9x + x2 = 0

Solving
90 + 9x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-90' to each side of the equation.
90 + 9x + -90 + x2 = 0 + -90

Reorder the terms:
90 + -90 + 9x + x2 = 0 + -90

Combine like terms: 90 + -90 = 0
0 + 9x + x2 = 0 + -90
9x + x2 = 0 + -90

Combine like terms: 0 + -90 = -90
9x + x2 = -90

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = -90 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -90 + 20.25

Combine like terms: -90 + 20.25 = -69.75
20.25 + 9x + x2 = -69.75

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = -69.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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