X-3(X-3+16)=X^2

Solution for X-3(X-3+16)=X^2 equation:

Simplifying
X + -3(X + -3 + 16) = X2

Reorder the terms:
X + -3(-3 + 16 + X) = X2

Combine like terms: -3 + 16 = 13
X + -3(13 + X) = X2
X + (13 * -3 + X * -3) = X2
X + (-39 + -3X) = X2

Reorder the terms:
-39 + X + -3X = X2

Combine like terms: X + -3X = -2X
-39 + -2X = X2

Solving
-39 + -2X = X2

Solving for variable 'X'.

Combine like terms: X2 + -1X2 = 0
-39 + -2X + -1X2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(39 + 2X + X2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(39 + 2X + X2)' equal to zero and attempt to solve:

Simplifying
39 + 2X + X2 = 0

Solving
39 + 2X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-39' to each side of the equation.
39 + 2X + -39 + X2 = 0 + -39

Reorder the terms:
39 + -39 + 2X + X2 = 0 + -39

Combine like terms: 39 + -39 = 0
0 + 2X + X2 = 0 + -39
2X + X2 = 0 + -39

Combine like terms: 0 + -39 = -39
2X + X2 = -39

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 = -39 + 1

Reorder the terms:
1 + 2X + X2 = -39 + 1

Combine like terms: -39 + 1 = -38
1 + 2X + X2 = -38

Factor a perfect square on the left side:
(X + 1)(X + 1) = -38

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.