(x+4)*(x-6)=56

Solution for (x+4)*(x-6)=56 equation:

Simplifying
(x + 4)(x + -6) = 56

Reorder the terms:
(4 + x)(x + -6) = 56

Reorder the terms:
(4 + x)(-6 + x) = 56

Multiply (4 + x) * (-6 + x)
(4(-6 + x) + x(-6 + x)) = 56
((-6 * 4 + x * 4) + x(-6 + x)) = 56
((-24 + 4x) + x(-6 + x)) = 56
(-24 + 4x + (-6 * x + x * x)) = 56
(-24 + 4x + (-6x + x2)) = 56

Combine like terms: 4x + -6x = -2x
(-24 + -2x + x2) = 56

Solving
-24 + -2x + x2 = 56

Solving for variable 'x'.

Reorder the terms:
-24 + -56 + -2x + x2 = 56 + -56

Combine like terms: -24 + -56 = -80
-80 + -2x + x2 = 56 + -56

Combine like terms: 56 + -56 = 0
-80 + -2x + x2 = 0

Factor a trinomial.
(-8 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

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

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

Divide each side by '-1'.
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-8, 10}