x(15x+3)=2x

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Solution for x(15x+3)=2x equation: 


Simplifying
x(15x + 3) = 2x

Reorder the terms:
x(3 + 15x) = 2x
(3 * x + 15x * x) = 2x
(3x + 15x2) = 2x

Solving
3x + 15x2 = 2x

Solving for variable 'x'.

Reorder the terms:
3x + -2x + 15x2 = 2x + -2x

Combine like terms: 3x + -2x = 1x
1x + 15x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
1x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 15x) = 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 '(1 + 15x)' equal to zero and attempt to solve:

Simplifying
1 + 15x = 0

Solving
1 + 15x = 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 + 15x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 15x = 0 + -1
15x = 0 + -1

Combine like terms: 0 + -1 = -1
15x = -1

Divide each side by '15'.
x = -0.06666666667

Simplifying
x = -0.06666666667
Solution
x = {0, -0.06666666667}

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