9x(x+3)=3x-16

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Solution for 9x(x+3)=3x-16 equation: 


Simplifying
9x(x + 3) = 3x + -16

Reorder the terms:
9x(3 + x) = 3x + -16
(3 * 9x + x * 9x) = 3x + -16
(27x + 9x2) = 3x + -16

Reorder the terms:
27x + 9x2 = -16 + 3x

Solving
27x + 9x2 = -16 + 3x

Solving for variable 'x'.

Reorder the terms:
16 + 27x + -3x + 9x2 = -16 + 3x + 16 + -3x

Combine like terms: 27x + -3x = 24x
16 + 24x + 9x2 = -16 + 3x + 16 + -3x

Reorder the terms:
16 + 24x + 9x2 = -16 + 16 + 3x + -3x

Combine like terms: -16 + 16 = 0
16 + 24x + 9x2 = 0 + 3x + -3x
16 + 24x + 9x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
16 + 24x + 9x2 = 0

Factor a trinomial.
(4 + 3x)(4 + 3x) = 0


Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {-1.333333333, -1.333333333}

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