3x(2+x)=20x

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Solution for 3x(2+x)=20x equation: 


Simplifying
3x(2 + x) = 20x
(2 * 3x + x * 3x) = 20x
(6x + 3x2) = 20x

Solving
6x + 3x2 = 20x

Solving for variable 'x'.

Reorder the terms:
6x + -20x + 3x2 = 20x + -20x

Combine like terms: 6x + -20x = -14x
-14x + 3x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
-14x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-14 + 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 '(-14 + 3x)' equal to zero and attempt to solve:

Simplifying
-14 + 3x = 0

Solving
-14 + 3x = 0

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

Add '14' to each side of the equation.
-14 + 14 + 3x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = 0 + 14
3x = 0 + 14

Combine like terms: 0 + 14 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667
Solution
x = {0, 4.666666667}

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