3*x*(x+2)=297

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


Simplifying
3x(x + 2) = 297

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

Solving
6x + 3x2 = 297

Solving for variable 'x'.

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

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

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

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

Ignore the factor 3.

Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 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 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

Subproblem 2
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
Solution
x = {-11, 9}

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