5x(4x-19)=x

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Solution for 5x(4x-19)=x equation: 


Simplifying
5x(4x + -19) = x

Reorder the terms:
5x(-19 + 4x) = x
(-19 * 5x + 4x * 5x) = x
(-95x + 20x2) = x

Solving
-95x + 20x2 = x

Solving for variable 'x'.

Reorder the terms:
-95x + -1x + 20x2 = x + -1x

Combine like terms: -95x + -1x = -96x
-96x + 20x2 = x + -1x

Combine like terms: x + -1x = 0
-96x + 20x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-24 + 5x) = 0

Ignore the factor 4.

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 '(-24 + 5x)' equal to zero and attempt to solve:

Simplifying
-24 + 5x = 0

Solving
-24 + 5x = 0

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

Add '24' to each side of the equation.
-24 + 24 + 5x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = 0 + 24
5x = 0 + 24

Combine like terms: 0 + 24 = 24
5x = 24

Divide each side by '5'.
x = 4.8

Simplifying
x = 4.8
Solution
x = {0, 4.8}

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