x(x+20)=384

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Solution for x(x+20)=384 equation:


Simplifying
x(x + 20) = 384

Reorder the terms:
x(20 + x) = 384
(20 * x + x * x) = 384
(20x + x2) = 384

Solving
20x + x2 = 384

Solving for variable 'x'.

Reorder the terms:
-384 + 20x + x2 = 384 + -384

Combine like terms: 384 + -384 = 0
-384 + 20x + x2 = 0

Factor a trinomial.
(-32 + -1x)(12 + -1x) = 0

Subproblem 1

Set the factor '(-32 + -1x)' equal to zero and attempt to solve: Simplifying -32 + -1x = 0 Solving -32 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -1x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -1x = 0 + 32 -1x = 0 + 32 Combine like terms: 0 + 32 = 32 -1x = 32 Divide each side by '-1'. x = -32 Simplifying x = -32

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 = {-32, 12}

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