(3x+8)-3x(3x+8)=

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Solution for (3x+8)-3x(3x+8)= equation: 


Simplifying
(3x + 8) + -3x(3x + 8) = 0

Reorder the terms:
(8 + 3x) + -3x(3x + 8) = 0

Remove parenthesis around (8 + 3x)
8 + 3x + -3x(3x + 8) = 0

Reorder the terms:
8 + 3x + -3x(8 + 3x) = 0
8 + 3x + (8 * -3x + 3x * -3x) = 0
8 + 3x + (-24x + -9x2) = 0

Combine like terms: 3x + -24x = -21x
8 + -21x + -9x2 = 0

Solving
8 + -21x + -9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -3x)(8 + 3x) = 0


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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 2
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667
Solution
x = {0.3333333333, -2.666666667}

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