3x(5+3x)=2x

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Solution for 3x(5+3x)=2x equation: 


Simplifying
3x(5 + 3x) = 2x
(5 * 3x + 3x * 3x) = 2x
(15x + 9x2) = 2x

Solving
15x + 9x2 = 2x

Solving for variable 'x'.

Reorder the terms:
15x + -2x + 9x2 = 2x + -2x

Combine like terms: 15x + -2x = 13x
13x + 9x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
13x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + 9x) = 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 + 9x)' equal to zero and attempt to solve:

Simplifying
13 + 9x = 0

Solving
13 + 9x = 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 + 9x = 0 + -13

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

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

Divide each side by '9'.
x = -1.444444444

Simplifying
x = -1.444444444
Solution
x = {0, -1.444444444}

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