64+(x)(x)=(x+49)

Solution for 64+(x)(x)=(x+49) equation:

Simplifying
64 + (x)(x) = (x + 49)

Multiply x * x
64 + x2 = (x + 49)

Reorder the terms:
64 + x2 = (49 + x)

Remove parenthesis around (49 + x)
64 + x2 = 49 + x

Solving
64 + x2 = 49 + x

Solving for variable 'x'.

Reorder the terms:
64 + -49 + -1x + x2 = 49 + x + -49 + -1x

Combine like terms: 64 + -49 = 15
15 + -1x + x2 = 49 + x + -49 + -1x

Reorder the terms:
15 + -1x + x2 = 49 + -49 + x + -1x

Combine like terms: 49 + -49 = 0
15 + -1x + x2 = 0 + x + -1x
15 + -1x + x2 = x + -1x

Combine like terms: x + -1x = 0
15 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -1x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -1x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x + x2 = 0 + -15
-1x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-1x + x2 = -15

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -15 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -15 + 0.25

Combine like terms: -15 + 0.25 = -14.75
0.25 + -1x + x2 = -14.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -14.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.