3x(x-5)=4x

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Solution for 3x(x-5)=4x equation: 


Simplifying
3x(x + -5) = 4x

Reorder the terms:
3x(-5 + x) = 4x
(-5 * 3x + x * 3x) = 4x
(-15x + 3x2) = 4x

Solving
-15x + 3x2 = 4x

Solving for variable 'x'.

Reorder the terms:
-15x + -4x + 3x2 = 4x + -4x

Combine like terms: -15x + -4x = -19x
-19x + 3x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-19x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-19 + 3x) = 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 + 3x)' equal to zero and attempt to solve:

Simplifying
-19 + 3x = 0

Solving
-19 + 3x = 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 + 3x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 3x = 0 + 19
3x = 0 + 19

Combine like terms: 0 + 19 = 19
3x = 19

Divide each side by '3'.
x = 6.333333333

Simplifying
x = 6.333333333
Solution
x = {0, 6.333333333}

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