20x=25x(x-10)

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Solution for 20x=25x(x-10) equation: 


Simplifying
20x = 25x(x + -10)

Reorder the terms:
20x = 25x(-10 + x)
20x = (-10 * 25x + x * 25x)
20x = (-250x + 25x2)

Solving
20x = -250x + 25x2

Solving for variable 'x'.

Combine like terms: 20x + 250x = 270x
270x + -25x2 = -250x + 25x2 + 250x + -25x2

Reorder the terms:
270x + -25x2 = -250x + 250x + 25x2 + -25x2

Combine like terms: -250x + 250x = 0
270x + -25x2 = 0 + 25x2 + -25x2
270x + -25x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
270x + -25x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(54 + -5x) = 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 '(54 + -5x)' equal to zero and attempt to solve:

Simplifying
54 + -5x = 0

Solving
54 + -5x = 0

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

Add '-54' to each side of the equation.
54 + -54 + -5x = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -5x = 0 + -54
-5x = 0 + -54

Combine like terms: 0 + -54 = -54
-5x = -54

Divide each side by '-5'.
x = 10.8

Simplifying
x = 10.8
Solution
x = {0, 10.8}

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