x^2+13.5x+48=0

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Solution for x^2+13.5x+48=0 equation: 


Simplifying
x2 + 13.5x + 48 = 0

Reorder the terms:
48 + 13.5x + x2 = 0

Solving
48 + 13.5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + 13.5x + -48 + x2 = 0 + -48

Reorder the terms:
48 + -48 + 13.5x + x2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 13.5x + x2 = 0 + -48
13.5x + x2 = 0 + -48

Combine like terms: 0 + -48 = -48
13.5x + x2 = -48

The x term is 13.5x.  Take half its coefficient (6.75).
Square it (45.5625) and add it to both sides.

Add '45.5625' to each side of the equation.
13.5x + 45.5625 + x2 = -48 + 45.5625

Reorder the terms:
45.5625 + 13.5x + x2 = -48 + 45.5625

Combine like terms: -48 + 45.5625 = -2.4375
45.5625 + 13.5x + x2 = -2.4375

Factor a perfect square on the left side:
(x + 6.75)(x + 6.75) = -2.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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