(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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