(x+4)(x)=396

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Solution for (x+4)(x)=396 equation: 


Simplifying
(x + 4)(x) = 396

Reorder the terms:
(4 + x)(x) = 396

Reorder the terms for easier multiplication:
x(4 + x) = 396
(4 * x + x * x) = 396
(4x + x2) = 396

Solving
4x + x2 = 396

Solving for variable 'x'.

Reorder the terms:
-396 + 4x + x2 = 396 + -396

Combine like terms: 396 + -396 = 0
-396 + 4x + x2 = 0

Factor a trinomial.
(-22 + -1x)(18 + -1x) = 0


Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve:

Simplifying
-22 + -1x = 0

Solving
-22 + -1x = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1x = 0 + 22
-1x = 0 + 22

Combine like terms: 0 + 22 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {-22, 18}

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