x(4x-19)=0

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Solution for x(4x-19)=0 equation: 


Simplifying
x(4x + -19) = 0

Reorder the terms:
x(-19 + 4x) = 0
(-19 * x + 4x * x) = 0
(-19x + 4x2) = 0

Solving
-19x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-19 + 4x) = 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 '(-19 + 4x)' equal to zero and attempt to solve:

Simplifying
-19 + 4x = 0

Solving
-19 + 4x = 0

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

Add '19' to each side of the equation.
-19 + 19 + 4x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 4x = 0 + 19
4x = 0 + 19

Combine like terms: 0 + 19 = 19
4x = 19

Divide each side by '4'.
x = 4.75

Simplifying
x = 4.75
Solution
x = {0, 4.75}

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