297=(x+2)3x

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Solution for 297=(x+2)3x equation: 


Simplifying
297 = (x + 2) * 3x

Reorder the terms:
297 = (2 + x) * 3x

Reorder the terms for easier multiplication:
297 = 3x(2 + x)
297 = (2 * 3x + x * 3x)
297 = (6x + 3x2)

Solving
297 = 6x + 3x2

Solving for variable 'x'.

Reorder the terms:
297 + -6x + -3x2 = 6x + -6x + 3x2 + -3x2

Combine like terms: 6x + -6x = 0
297 + -6x + -3x2 = 0 + 3x2 + -3x2
297 + -6x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
297 + -6x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(99 + -2x + -1x2) = 0

Factor a trinomial.
3((9 + -1x)(11 + x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {9, -11}

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