x^2+4.5x=-8

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Solution for x^2+4.5x=-8 equation:


Simplifying
x2 + 4.5x = -8

Reorder the terms:
4.5x + x2 = -8

Solving
4.5x + x2 = -8

Solving for variable 'x'.

Reorder the terms:
8 + 4.5x + x2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 4.5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + 4.5x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + 4.5x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 4.5x + x2 = 0 + -8
4.5x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
4.5x + x2 = -8

The x term is 4.5x.  Take half its coefficient (2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
4.5x + 5.0625 + x2 = -8 + 5.0625

Reorder the terms:
5.0625 + 4.5x + x2 = -8 + 5.0625

Combine like terms: -8 + 5.0625 = -2.9375
5.0625 + 4.5x + x2 = -2.9375

Factor a perfect square on the left side:
(x + 2.25)(x + 2.25) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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