6x(3x+5y-4)=

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Solution for 6x(3x+5y-4)= equation: 


Simplifying
6x(3x + 5y + -4) = 0

Reorder the terms:
6x(-4 + 3x + 5y) = 0
(-4 * 6x + 3x * 6x + 5y * 6x) = 0

Reorder the terms:
(-24x + 30xy + 18x2) = 0
(-24x + 30xy + 18x2) = 0

Solving
-24x + 30xy + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-4 + 5y + 3x) = 0

Ignore the factor 6.

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 '(-4 + 5y + 3x)' equal to zero and attempt to solve:

Simplifying
-4 + 5y + 3x = 0

Reorder the terms:
-4 + 3x + 5y = 0

Solving
-4 + 3x + 5y = 0

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

Add '4' to each side of the equation.
-4 + 3x + 4 + 5y = 0 + 4

Reorder the terms:
-4 + 4 + 3x + 5y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3x + 5y = 0 + 4
3x + 5y = 0 + 4

Combine like terms: 0 + 4 = 4
3x + 5y = 4

Add '-5y' to each side of the equation.
3x + 5y + -5y = 4 + -5y

Combine like terms: 5y + -5y = 0
3x + 0 = 4 + -5y
3x = 4 + -5y

Divide each side by '3'.
x = 1.333333333 + -1.666666667y

Simplifying
x = 1.333333333 + -1.666666667y
Solution
x = {0, 1.333333333 + -1.666666667y}

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