33=[3x+8]3x

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Solution for 33=[3x+8]3x equation: 


Simplifying
33 = [3x + 8] * 3x

Reorder the terms:
33 = [8 + 3x] * 3x

Reorder the terms for easier multiplication:
33 = 3x[8 + 3x]
33 = [8 * 3x + 3x * 3x]
33 = [24x + 9x2]

Solving
33 = 24x + 9x2

Solving for variable 'x'.

Reorder the terms:
33 + -24x + -9x2 = 24x + -24x + 9x2 + -9x2

Combine like terms: 24x + -24x = 0
33 + -24x + -9x2 = 0 + 9x2 + -9x2
33 + -24x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
33 + -24x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(11 + -8x + -3x2) = 0

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

Ignore the factor 3.

Subproblem 1
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

Subproblem 2
Set the factor '(11 + 3x)' equal to zero and attempt to solve:

Simplifying
11 + 3x = 0

Solving
11 + 3x = 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 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11

Combine like terms: 0 + -11 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667
Solution
x = {1, -3.666666667}

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