x(3x-2)-18x=0

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Solution for x(3x-2)-18x=0 equation:


Simplifying
x(3x + -2) + -18x = 0

Reorder the terms:
x(-2 + 3x) + -18x = 0
(-2 * x + 3x * x) + -18x = 0
(-2x + 3x2) + -18x = 0

Reorder the terms:
-2x + -18x + 3x2 = 0

Combine like terms: -2x + -18x = -20x
-20x + 3x2 = 0

Solving
-20x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-20 + 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 '(-20 + 3x)' equal to zero and attempt to solve:

Simplifying
-20 + 3x = 0

Solving
-20 + 3x = 0

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

Add '20' to each side of the equation.
-20 + 20 + 3x = 0 + 20

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

Combine like terms: 0 + 20 = 20
3x = 20

Divide each side by '3'.
x = 6.666666667

Simplifying
x = 6.666666667
Solution
x = {0, 6.666666667}

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