x^2+9x+20.25=-18

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Solution for x^2+9x+20.25=-18 equation:


Simplifying
x2 + 9x + 20.25 = -18

Reorder the terms:
20.25 + 9x + x2 = -18

Solving
20.25 + 9x + x2 = -18

Solving for variable 'x'.

Reorder the terms:
20.25 + 18 + 9x + x2 = -18 + 18

Combine like terms: 20.25 + 18 = 38.25
38.25 + 9x + x2 = -18 + 18

Combine like terms: -18 + 18 = 0
38.25 + 9x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-38.25' to each side of the equation.
38.25 + 9x + -38.25 + x2 = 0 + -38.25

Reorder the terms:
38.25 + -38.25 + 9x + x2 = 0 + -38.25

Combine like terms: 38.25 + -38.25 = 0.00
0.00 + 9x + x2 = 0 + -38.25
9x + x2 = 0 + -38.25

Combine like terms: 0 + -38.25 = -38.25
9x + x2 = -38.25

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 = -38.25 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -38.25 + 20.25

Combine like terms: -38.25 + 20.25 = -18
20.25 + 9x + x2 = -18

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = -18

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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