(x+3)(x-6)=x-39

Solution for (x+3)(x-6)=x-39 equation:

Simplifying
(x + 3)(x + -6) = x + -39

Reorder the terms:
(3 + x)(x + -6) = x + -39

Reorder the terms:
(3 + x)(-6 + x) = x + -39

Multiply (3 + x) * (-6 + x)
(3(-6 + x) + x(-6 + x)) = x + -39
((-6 * 3 + x * 3) + x(-6 + x)) = x + -39
((-18 + 3x) + x(-6 + x)) = x + -39
(-18 + 3x + (-6 * x + x * x)) = x + -39
(-18 + 3x + (-6x + x2)) = x + -39

Combine like terms: 3x + -6x = -3x
(-18 + -3x + x2) = x + -39

Reorder the terms:
-18 + -3x + x2 = -39 + x

Solving
-18 + -3x + x2 = -39 + x

Solving for variable 'x'.

Reorder the terms:
-18 + 39 + -3x + -1x + x2 = -39 + x + 39 + -1x

Combine like terms: -18 + 39 = 21
21 + -3x + -1x + x2 = -39 + x + 39 + -1x

Combine like terms: -3x + -1x = -4x
21 + -4x + x2 = -39 + x + 39 + -1x

Reorder the terms:
21 + -4x + x2 = -39 + 39 + x + -1x

Combine like terms: -39 + 39 = 0
21 + -4x + x2 = 0 + x + -1x
21 + -4x + x2 = x + -1x

Combine like terms: x + -1x = 0
21 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-21' to each side of the equation.
21 + -4x + -21 + x2 = 0 + -21

Reorder the terms:
21 + -21 + -4x + x2 = 0 + -21

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

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

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -21 + 4

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

Combine like terms: -21 + 4 = -17
4 + -4x + x2 = -17

Factor a perfect square on the left side:
(x + -2)(x + -2) = -17

Can't calculate square root of the right side.

The solution to this equation could not be determined.