(2x+8)+(21)(21)=x^2+27(27)

Solution for (2x+8)+(21)(21)=x^2+27(27) equation:

Simplifying
(2x + 8) + (21)(21) = x2 + 27(27)

Reorder the terms:
(8 + 2x) + (21)(21) = x2 + 27(27)

Remove parenthesis around (8 + 2x)
8 + 2x + (21)(21) = x2 + 27(27)

Multiply 21 * 21
8 + 2x + 441 = x2 + 27(27)

Reorder the terms:
8 + 441 + 2x = x2 + 27(27)

Combine like terms: 8 + 441 = 449
449 + 2x = x2 + 27(27)

Multiply 27 * 27
449 + 2x = x2 + 729

Reorder the terms:
449 + 2x = 729 + x2

Solving
449 + 2x = 729 + x2

Solving for variable 'x'.

Reorder the terms:
449 + -729 + 2x + -1x2 = 729 + x2 + -729 + -1x2

Combine like terms: 449 + -729 = -280
-280 + 2x + -1x2 = 729 + x2 + -729 + -1x2

Reorder the terms:
-280 + 2x + -1x2 = 729 + -729 + x2 + -1x2

Combine like terms: 729 + -729 = 0
-280 + 2x + -1x2 = 0 + x2 + -1x2
-280 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-280 + 2x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
280 + -2x + x2 = 0

Move the constant term to the right:

Add '-280' to each side of the equation.
280 + -2x + -280 + x2 = 0 + -280

Reorder the terms:
280 + -280 + -2x + x2 = 0 + -280

Combine like terms: 280 + -280 = 0
0 + -2x + x2 = 0 + -280
-2x + x2 = 0 + -280

Combine like terms: 0 + -280 = -280
-2x + x2 = -280

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -280 + 1

Reorder the terms:
1 + -2x + x2 = -280 + 1

Combine like terms: -280 + 1 = -279
1 + -2x + x2 = -279

Factor a perfect square on the left side:
(x + -1)(x + -1) = -279

Can't calculate square root of the right side.

The solution to this equation could not be determined.