(x+16)*x=260

Solution for (x+16)*x=260 equation:

Simplifying
(x + 16) * x = 260

Reorder the terms:
(16 + x) * x = 260

Reorder the terms for easier multiplication:
x(16 + x) = 260
(16 * x + x * x) = 260
(16x + x2) = 260

Solving
16x + x2 = 260

Solving for variable 'x'.

Reorder the terms:
-260 + 16x + x2 = 260 + -260

Combine like terms: 260 + -260 = 0
-260 + 16x + x2 = 0

Factor a trinomial.
(-26 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-26 + -1x)' equal to zero and attempt to solve:

Simplifying
-26 + -1x = 0

Solving
-26 + -1x = 0

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

Add '26' to each side of the equation.
-26 + 26 + -1x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = 0 + 26
-1x = 0 + 26

Combine like terms: 0 + 26 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26
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 = {-26, 10}