(6+x)x=40

Solution for (6+x)x=40 equation:

Simplifying
(6 + x) * x = 40

Reorder the terms for easier multiplication:
x(6 + x) = 40
(6 * x + x * x) = 40
(6x + x2) = 40

Solving
6x + x2 = 40

Solving for variable 'x'.

Reorder the terms:
-40 + 6x + x2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 6x + x2 = 0

Factor a trinomial.
(-10 + -1x)(4 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-10, 4}