(X+2)(X)=35

Solution for (X+2)(X)=35 equation:

Simplifying
(X + 2)(X) = 35

Reorder the terms:
(2 + X)(X) = 35

Reorder the terms for easier multiplication:
X(2 + X) = 35
(2 * X + X * X) = 35
(2X + X2) = 35

Solving
2X + X2 = 35

Solving for variable 'X'.

Reorder the terms:
-35 + 2X + X2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + 2X + X2 = 0

Factor a trinomial.
(-7 + -1X)(5 + -1X) = 0

Subproblem 1
Set the factor '(-7 + -1X)' equal to zero and attempt to solve:

Simplifying
-7 + -1X = 0

Solving
-7 + -1X = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1X = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1X = 0 + 7
-1X = 0 + 7

Combine like terms: 0 + 7 = 7
-1X = 7

Divide each side by '-1'.
X = -7

Simplifying
X = -7
Subproblem 2
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
Solution
X = {-7, 5}