2x(3x-5)=x

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


Simplifying
2x(3x + -5) = x

Reorder the terms:
2x(-5 + 3x) = x
(-5 * 2x + 3x * 2x) = x
(-10x + 6x2) = x

Solving
-10x + 6x2 = x

Solving for variable 'x'.

Reorder the terms:
-10x + -1x + 6x2 = x + -1x

Combine like terms: -10x + -1x = -11x
-11x + 6x2 = x + -1x

Combine like terms: x + -1x = 0
-11x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11 + 6x) = 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 '(-11 + 6x)' equal to zero and attempt to solve:

Simplifying
-11 + 6x = 0

Solving
-11 + 6x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 6x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 6x = 0 + 11
6x = 0 + 11

Combine like terms: 0 + 11 = 11
6x = 11

Divide each side by '6'.
x = 1.833333333

Simplifying
x = 1.833333333
Solution
x = {0, 1.833333333}

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