(x)=-4x^2+22x-121

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Solution for (x)=-4x^2+22x-121 equation: 


Simplifying
(x) = -4x2 + 22x + -121
x = -4x2 + 22x + -121

Reorder the terms:
x = -121 + 22x + -4x2

Solving
x = -121 + 22x + -4x2

Solving for variable 'x'.

Reorder the terms:
121 + x + -22x + 4x2 = -121 + 22x + -4x2 + 121 + -22x + 4x2

Combine like terms: x + -22x = -21x
121 + -21x + 4x2 = -121 + 22x + -4x2 + 121 + -22x + 4x2

Reorder the terms:
121 + -21x + 4x2 = -121 + 121 + 22x + -22x + -4x2 + 4x2

Combine like terms: -121 + 121 = 0
121 + -21x + 4x2 = 0 + 22x + -22x + -4x2 + 4x2
121 + -21x + 4x2 = 22x + -22x + -4x2 + 4x2

Combine like terms: 22x + -22x = 0
121 + -21x + 4x2 = 0 + -4x2 + 4x2
121 + -21x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
121 + -21x + 4x2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
30.25 + -5.25x + x2 = 0

Move the constant term to the right:

Add '-30.25' to each side of the equation.
30.25 + -5.25x + -30.25 + x2 = 0 + -30.25

Reorder the terms:
30.25 + -30.25 + -5.25x + x2 = 0 + -30.25

Combine like terms: 30.25 + -30.25 = 0.00
0.00 + -5.25x + x2 = 0 + -30.25
-5.25x + x2 = 0 + -30.25

Combine like terms: 0 + -30.25 = -30.25
-5.25x + x2 = -30.25

The x term is -5.25x.  Take half its coefficient (-2.625).
Square it (6.890625) and add it to both sides.

Add '6.890625' to each side of the equation.
-5.25x + 6.890625 + x2 = -30.25 + 6.890625

Reorder the terms:
6.890625 + -5.25x + x2 = -30.25 + 6.890625

Combine like terms: -30.25 + 6.890625 = -23.359375
6.890625 + -5.25x + x2 = -23.359375

Factor a perfect square on the left side:
(x + -2.625)(x + -2.625) = -23.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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