(3+x)(x)=154

Solution for (3+x)(x)=154 equation:

Simplifying
(3 + x)(x) = 154

Reorder the terms for easier multiplication:
x(3 + x) = 154
(3 * x + x * x) = 154
(3x + x2) = 154

Solving
3x + x2 = 154

Solving for variable 'x'.

Reorder the terms:
-154 + 3x + x2 = 154 + -154

Combine like terms: 154 + -154 = 0
-154 + 3x + x2 = 0

Factor a trinomial.
(-14 + -1x)(11 + -1x) = 0

Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 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 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-14, 11}