(x^2-6)-(x-4)=

Solution for (x^2-6)-(x-4)= equation:

Simplifying
(x2 + -6) + -1(x + -4) = 0

Reorder the terms:
(-6 + x2) + -1(x + -4) = 0

Remove parenthesis around (-6 + x2)
-6 + x2 + -1(x + -4) = 0

Reorder the terms:
-6 + x2 + -1(-4 + x) = 0
-6 + x2 + (-4 * -1 + x * -1) = 0
-6 + x2 + (4 + -1x) = 0

Reorder the terms:
-6 + 4 + -1x + x2 = 0

Combine like terms: -6 + 4 = -2
-2 + -1x + x2 = 0

Solving
-2 + -1x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

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

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

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

Divide each side by '-1'.
x = -1

Simplifying
x = -1
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1, 2}