324=(3+2x)x

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Solution for 324=(3+2x)x equation: 


Simplifying
324 = (3 + 2x) * x

Reorder the terms for easier multiplication:
324 = x(3 + 2x)
324 = (3 * x + 2x * x)
324 = (3x + 2x2)

Solving
324 = 3x + 2x2

Solving for variable 'x'.

Reorder the terms:
324 + -3x + -2x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
324 + -3x + -2x2 = 0 + 2x2 + -2x2
324 + -3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
324 + -3x + -2x2 = 0

Factor a trinomial.
(12 + -1x)(27 + 2x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(27 + 2x)' equal to zero and attempt to solve:

Simplifying
27 + 2x = 0

Solving
27 + 2x = 0

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

Add '-27' to each side of the equation.
27 + -27 + 2x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 2x = 0 + -27
2x = 0 + -27

Combine like terms: 0 + -27 = -27
2x = -27

Divide each side by '2'.
x = -13.5

Simplifying
x = -13.5
Solution
x = {12, -13.5}

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