0=3*(3-2x-x^2)

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Solution for 0=3*(3-2x-x^2) equation: 


Simplifying
0 = 3(3 + -2x + -1x2)
0 = (3 * 3 + -2x * 3 + -1x2 * 3)
0 = (9 + -6x + -3x2)

Solving
0 = 9 + -6x + -3x2

Solving for variable 'x'.

Combine like terms: 0 + -9 = -9
-9 + 6x + 3x2 = 9 + -6x + -3x2 + -9 + 6x + 3x2

Reorder the terms:
-9 + 6x + 3x2 = 9 + -9 + -6x + 6x + -3x2 + 3x2

Combine like terms: 9 + -9 = 0
-9 + 6x + 3x2 = 0 + -6x + 6x + -3x2 + 3x2
-9 + 6x + 3x2 = -6x + 6x + -3x2 + 3x2

Combine like terms: -6x + 6x = 0
-9 + 6x + 3x2 = 0 + -3x2 + 3x2
-9 + 6x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-9 + 6x + 3x2 = 0

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

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

Ignore the factor 3.

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-3, 1}

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