60=5+x(1+2x)

Solution for 60=5+x(1+2x) equation:

Simplifying
60 = 5 + x(1 + 2x)
60 = 5 + (1 * x + 2x * x)
60 = 5 + (1x + 2x2)

Solving
60 = 5 + 1x + 2x2

Solving for variable 'x'.

Combine like terms: 60 + -5 = 55
55 + -1x + -2x2 = 5 + 1x + 2x2 + -5 + -1x + -2x2

Reorder the terms:
55 + -1x + -2x2 = 5 + -5 + 1x + -1x + 2x2 + -2x2

Combine like terms: 5 + -5 = 0
55 + -1x + -2x2 = 0 + 1x + -1x + 2x2 + -2x2
55 + -1x + -2x2 = 1x + -1x + 2x2 + -2x2

Combine like terms: 1x + -1x = 0
55 + -1x + -2x2 = 0 + 2x2 + -2x2
55 + -1x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
55 + -1x + -2x2 = 0

Factor a trinomial.
(5 + -1x)(11 + 2x) = 0

Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Subproblem 2
Set the factor '(11 + 2x)' equal to zero and attempt to solve:

Simplifying
11 + 2x = 0

Solving
11 + 2x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 0 + -11
2x = 0 + -11

Combine like terms: 0 + -11 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5
Solution
x = {5, -5.5}