x(x+4)=192

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Solution for x(x+4)=192 equation:


Simplifying
x(x + 4) = 192

Reorder the terms:
x(4 + x) = 192
(4 * x + x * x) = 192
(4x + x2) = 192

Solving
4x + x2 = 192

Solving for variable 'x'.

Reorder the terms:
-192 + 4x + x2 = 192 + -192

Combine like terms: 192 + -192 = 0
-192 + 4x + x2 = 0

Factor a trinomial.
(-16 + -1x)(12 + -1x) = 0

Subproblem 1

Set the factor '(-16 + -1x)' equal to zero and attempt to solve: Simplifying -16 + -1x = 0 Solving -16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 0 + 16 -1x = 0 + 16 Combine like terms: 0 + 16 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {-16, 12}

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