(4+x)x=(7+5)5

Solution for (4+x)x=(7+5)5 equation:

Simplifying
(4 + x) * x = (7 + 5) * 5

Reorder the terms for easier multiplication:
x(4 + x) = (7 + 5) * 5
(4 * x + x * x) = (7 + 5) * 5
(4x + x2) = (7 + 5) * 5

Combine like terms: 7 + 5 = 12
4x + x2 = (12) * 5

Multiply 12 * 5
4x + x2 = 60

Solving
4x + x2 = 60

Solving for variable 'x'.

Reorder the terms:
-60 + 4x + x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 4x + x2 = 0

Factor a trinomial.
(-10 + -1x)(6 + -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 '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-10, 6}