x(3x+20)=x

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Solution for x(3x+20)=x equation: 


Simplifying
x(3x + 20) = x

Reorder the terms:
x(20 + 3x) = x
(20 * x + 3x * x) = x
(20x + 3x2) = x

Solving
20x + 3x2 = x

Solving for variable 'x'.

Reorder the terms:
20x + -1x + 3x2 = x + -1x

Combine like terms: 20x + -1x = 19x
19x + 3x2 = x + -1x

Combine like terms: x + -1x = 0
19x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(19 + 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 '(19 + 3x)' equal to zero and attempt to solve:

Simplifying
19 + 3x = 0

Solving
19 + 3x = 0

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

Add '-19' to each side of the equation.
19 + -19 + 3x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 3x = 0 + -19
3x = 0 + -19

Combine like terms: 0 + -19 = -19
3x = -19

Divide each side by '3'.
x = -6.333333333

Simplifying
x = -6.333333333
Solution
x = {0, -6.333333333}

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