Solve for x in the equation x^2+10x+12=36

I am going to put the all math work for the answer of this question, but if you need an explanation for how i got each step let me know and i will provide that for you
x^2 +10x + 12 = 36
x^2 + 10x + 12 - 36 = 0
x^2 +12x - 2x - 24 = 0
x(x + 12) - 2(x +12) = 0
(x + 12) x (x - 2) = 0
x + 12 = 0
x - 2 = 0
x = -12
x = 2
your answer for the first x is x = -12, and your answer for the second x will be
x = 2 
let me know if you have any further questions
:)

 The required value of x is 2 or -12.

Step-by-step explanation:  We are given to solve for x in the following equation :

We will be solving the given equation by the method of factorization.

From equation (i), we have

Thus, the required value of x is 2 or -12.

The given expression is

We need to determine the expression by factoring out the greatest common factor.

Also, we need to determine the factor of the entire expression completely.

Part A: Expression by factoring out the greatest common factor:

The GCF of two numbers is the highest number that divides both the numbers.

To rewrite the expression by factoring out the greatest common factor, we need to factor out the highest number that divides the two expressions.

Thus, we have;

Thus, the expression is

Part B: Factoring the entire expression:

Let us factor the entire expression.

(1)

Now, we shall factor the term

Applying the identity

Thus, we have;

(2)

Factoring the term , we get;

Thus, substituting the above value in equation (2), we get;

Factoring the term , we get;

Substituting the values in the equation (1), we get;

Thus, the factor of the expression is