2x(x-5)=6x-11x

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Solution for 2x(x-5)=6x-11x equation: 


Simplifying
2x(x + -5) = 6x + -11x

Reorder the terms:
2x(-5 + x) = 6x + -11x
(-5 * 2x + x * 2x) = 6x + -11x
(-10x + 2x2) = 6x + -11x

Combine like terms: 6x + -11x = -5x
-10x + 2x2 = -5x

Solving
-10x + 2x2 = -5x

Solving for variable 'x'.

Reorder the terms:
-10x + 5x + 2x2 = -5x + 5x

Combine like terms: -10x + 5x = -5x
-5x + 2x2 = -5x + 5x

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + 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 '(-5 + 2x)' equal to zero and attempt to solve:

Simplifying
-5 + 2x = 0

Solving
-5 + 2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 0 + 5

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

Combine like terms: 0 + 5 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0, 2.5}

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