(X)(X+4)=396

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


Simplifying
(X)(X + 4) = 396

Reorder the terms:
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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