x^2-6.75x+10.5=-1

Solution for x^2-6.75x+10.5=-1 equation:

Simplifying
x2 + -6.75x + 10.5 = -1

Reorder the terms:
10.5 + -6.75x + x2 = -1

Solving
10.5 + -6.75x + x2 = -1

Solving for variable 'x'.

Reorder the terms:
10.5 + 1 + -6.75x + x2 = -1 + 1

Combine like terms: 10.5 + 1 = 11.5
11.5 + -6.75x + x2 = -1 + 1

Combine like terms: -1 + 1 = 0
11.5 + -6.75x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11.5' to each side of the equation.
11.5 + -6.75x + -11.5 + x2 = 0 + -11.5

Reorder the terms:
11.5 + -11.5 + -6.75x + x2 = 0 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + -6.75x + x2 = 0 + -11.5
-6.75x + x2 = 0 + -11.5

Combine like terms: 0 + -11.5 = -11.5
-6.75x + x2 = -11.5

The x term is -6.75x.  Take half its coefficient (-3.375).
Square it (11.390625) and add it to both sides.

Add '11.390625' to each side of the equation.
-6.75x + 11.390625 + x2 = -11.5 + 11.390625

Reorder the terms:
11.390625 + -6.75x + x2 = -11.5 + 11.390625

Combine like terms: -11.5 + 11.390625 = -0.109375
11.390625 + -6.75x + x2 = -0.109375

Factor a perfect square on the left side:
(x + -3.375)(x + -3.375) = -0.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.