2x^2+25=8x+x^2

Solution for 2x^2+25=8x+x^2 equation:

Simplifying
2x2 + 25 = 8x + x2

Reorder the terms:
25 + 2x2 = 8x + x2

Solving
25 + 2x2 = 8x + x2

Solving for variable 'x'.

Reorder the terms:
25 + -8x + 2x2 + -1x2 = 8x + x2 + -8x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
25 + -8x + 1x2 = 8x + x2 + -8x + -1x2

Reorder the terms:
25 + -8x + 1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
25 + -8x + 1x2 = 0 + x2 + -1x2
25 + -8x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
25 + -8x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -8x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -8x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -8x + x2 = 0 + -25
-8x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-8x + x2 = -25

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -25 + 16

Reorder the terms:
16 + -8x + x2 = -25 + 16

Combine like terms: -25 + 16 = -9
16 + -8x + x2 = -9

Factor a perfect square on the left side:
(x + -4)(x + -4) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.