2x(x-3)=5x

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


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

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

Solving
-6x + 2x2 = 5x

Solving for variable 'x'.

Reorder the terms:
-6x + -5x + 2x2 = 5x + -5x

Combine like terms: -6x + -5x = -11x
-11x + 2x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-11x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11 + 2x) = 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 + 2x)' equal to zero and attempt to solve:

Simplifying
-11 + 2x = 0

Solving
-11 + 2x = 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 + 2x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = 0 + 11
2x = 0 + 11

Combine like terms: 0 + 11 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5
Solution
x = {0, 5.5}

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