260=x^2+16x

Solution for 260=x^2+16x equation:

Simplifying
260 = x2 + 16x

Reorder the terms:
260 = 16x + x2

Solving
260 = 16x + x2

Solving for variable 'x'.

Reorder the terms:
260 + -16x + -1x2 = 16x + -16x + x2 + -1x2

Combine like terms: 16x + -16x = 0
260 + -16x + -1x2 = 0 + x2 + -1x2
260 + -16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
260 + -16x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(26 + x) = 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 '(26 + x)' equal to zero and attempt to solve:

Simplifying
26 + x = 0

Solving
26 + x = 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 + x = 0 + -26

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

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

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