5x(2x-11)=0

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Solution for 5x(2x-11)=0 equation: 


Simplifying
5x(2x + -11) = 0

Reorder the terms:
5x(-11 + 2x) = 0
(-11 * 5x + 2x * 5x) = 0
(-55x + 10x2) = 0

Solving
-55x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-11 + 2x) = 0

Ignore the factor 5.

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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