1x(x+25)=2x(x+10)

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Solution for 1x(x+25)=2x(x+10) equation: 


Simplifying
1x(x + 25) = 2x(x + 10)

Reorder the terms:
1x(25 + x) = 2x(x + 10)
(25 * 1x + x * 1x) = 2x(x + 10)
(25x + 1x2) = 2x(x + 10)

Reorder the terms:
25x + 1x2 = 2x(10 + x)
25x + 1x2 = (10 * 2x + x * 2x)
25x + 1x2 = (20x + 2x2)

Solving
25x + 1x2 = 20x + 2x2

Solving for variable 'x'.

Reorder the terms:
25x + -20x + 1x2 + -2x2 = 20x + 2x2 + -20x + -2x2

Combine like terms: 25x + -20x = 5x
5x + 1x2 + -2x2 = 20x + 2x2 + -20x + -2x2

Combine like terms: 1x2 + -2x2 = -1x2
5x + -1x2 = 20x + 2x2 + -20x + -2x2

Reorder the terms:
5x + -1x2 = 20x + -20x + 2x2 + -2x2

Combine like terms: 20x + -20x = 0
5x + -1x2 = 0 + 2x2 + -2x2
5x + -1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + -1x) = 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 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0, 5}

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