x(x+5+x)=50x

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Solution for x(x+5+x)=50x equation: 


Simplifying
x(x + 5 + x) = 50x

Reorder the terms:
x(5 + x + x) = 50x

Combine like terms: x + x = 2x
x(5 + 2x) = 50x
(5 * x + 2x * x) = 50x
(5x + 2x2) = 50x

Solving
5x + 2x2 = 50x

Solving for variable 'x'.

Reorder the terms:
5x + -50x + 2x2 = 50x + -50x

Combine like terms: 5x + -50x = -45x
-45x + 2x2 = 50x + -50x

Combine like terms: 50x + -50x = 0
-45x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-45 + 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 '(-45 + 2x)' equal to zero and attempt to solve:

Simplifying
-45 + 2x = 0

Solving
-45 + 2x = 0

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

Add '45' to each side of the equation.
-45 + 45 + 2x = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 2x = 0 + 45
2x = 0 + 45

Combine like terms: 0 + 45 = 45
2x = 45

Divide each side by '2'.
x = 22.5

Simplifying
x = 22.5
Solution
x = {0, 22.5}

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