5x(x-3)=2x

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


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

Reorder the terms:
5x(-3 + x) = 2x
(-3 * 5x + x * 5x) = 2x
(-15x + 5x2) = 2x

Solving
-15x + 5x2 = 2x

Solving for variable 'x'.

Reorder the terms:
-15x + -2x + 5x2 = 2x + -2x

Combine like terms: -15x + -2x = -17x
-17x + 5x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-17x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-17 + 5x) = 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 '(-17 + 5x)' equal to zero and attempt to solve:

Simplifying
-17 + 5x = 0

Solving
-17 + 5x = 0

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

Add '17' to each side of the equation.
-17 + 17 + 5x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 5x = 0 + 17
5x = 0 + 17

Combine like terms: 0 + 17 = 17
5x = 17

Divide each side by '5'.
x = 3.4

Simplifying
x = 3.4
Solution
x = {0, 3.4}

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