(x+3)(x+7)=396

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Solution for (x+3)(x+7)=396 equation: 


Simplifying
(x + 3)(x + 7) = 396

Reorder the terms:
(3 + x)(x + 7) = 396

Reorder the terms:
(3 + x)(7 + x) = 396

Multiply (3 + x) * (7 + x)
(3(7 + x) + x(7 + x)) = 396
((7 * 3 + x * 3) + x(7 + x)) = 396
((21 + 3x) + x(7 + x)) = 396
(21 + 3x + (7 * x + x * x)) = 396
(21 + 3x + (7x + x2)) = 396

Combine like terms: 3x + 7x = 10x
(21 + 10x + x2) = 396

Solving
21 + 10x + x2 = 396

Solving for variable 'x'.

Reorder the terms:
21 + -396 + 10x + x2 = 396 + -396

Combine like terms: 21 + -396 = -375
-375 + 10x + x2 = 396 + -396

Combine like terms: 396 + -396 = 0
-375 + 10x + x2 = 0

Factor a trinomial.
(-25 + -1x)(15 + -1x) = 0


Subproblem 1
Set the factor '(-25 + -1x)' equal to zero and attempt to solve:

Simplifying
-25 + -1x = 0

Solving
-25 + -1x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1x = 0 + 25
-1x = 0 + 25

Combine like terms: 0 + 25 = 25
-1x = 25

Divide each side by '-1'.
x = -25

Simplifying
x = -25

Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-25, 15}

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