3x(x+8)-2x=9x

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Solution for 3x(x+8)-2x=9x equation: 


Simplifying
3x(x + 8) + -2x = 9x

Reorder the terms:
3x(8 + x) + -2x = 9x
(8 * 3x + x * 3x) + -2x = 9x
(24x + 3x2) + -2x = 9x

Reorder the terms:
24x + -2x + 3x2 = 9x

Combine like terms: 24x + -2x = 22x
22x + 3x2 = 9x

Solving
22x + 3x2 = 9x

Solving for variable 'x'.

Reorder the terms:
22x + -9x + 3x2 = 9x + -9x

Combine like terms: 22x + -9x = 13x
13x + 3x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
13x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + 3x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(13 + 3x)' equal to zero and attempt to solve:

Simplifying
13 + 3x = 0

Solving
13 + 3x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 3x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = 0 + -13
3x = 0 + -13

Combine like terms: 0 + -13 = -13
3x = -13

Divide each side by '3'.
x = -4.333333333

Simplifying
x = -4.333333333
Solution
x = {0, -4.333333333}

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