x(1+2x)=136

Solution for x(1+2x)=136 equation:

Simplifying
x(1 + 2x) = 136
(1 * x + 2x * x) = 136
(1x + 2x2) = 136

Solving
1x + 2x2 = 136

Solving for variable 'x'.

Reorder the terms:
-136 + 1x + 2x2 = 136 + -136

Combine like terms: 136 + -136 = 0
-136 + 1x + 2x2 = 0

Factor a trinomial.
(-17 + -2x)(8 + -1x) = 0

Subproblem 1
Set the factor '(-17 + -2x)' equal to zero and attempt to solve:

Simplifying
-17 + -2x = 0

Solving
-17 + -2x = 0

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

Add '17' to each side of the equation.
-17 + 17 + -2x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -2x = 0 + 17
-2x = 0 + 17

Combine like terms: 0 + 17 = 17
-2x = 17

Divide each side by '-2'.
x = -8.5

Simplifying
x = -8.5
Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-8.5, 8}