(6x+y-1)(3x)=

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Solution for (6x+y-1)(3x)= equation: 


Simplifying
(6x + y + -1)(3x) = 0

Reorder the terms:
(-1 + 6x + y)(3x) = 0

Remove parenthesis around (3x)
(-1 + 6x + y) * 3x = 0

Reorder the terms for easier multiplication:
3x(-1 + 6x + y) = 0
(-1 * 3x + 6x * 3x + y * 3x) = 0

Reorder the terms:
(-3x + 3xy + 18x2) = 0
(-3x + 3xy + 18x2) = 0

Solving
-3x + 3xy + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-1 + y + 6x) = 0

Ignore the factor 3.

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 '(-1 + y + 6x)' equal to zero and attempt to solve:

Simplifying
-1 + y + 6x = 0

Reorder the terms:
-1 + 6x + y = 0

Solving
-1 + 6x + y = 0

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

Add '1' to each side of the equation.
-1 + 6x + 1 + y = 0 + 1

Reorder the terms:
-1 + 1 + 6x + y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6x + y = 0 + 1
6x + y = 0 + 1

Combine like terms: 0 + 1 = 1
6x + y = 1

Add '-1y' to each side of the equation.
6x + y + -1y = 1 + -1y

Combine like terms: y + -1y = 0
6x + 0 = 1 + -1y
6x = 1 + -1y

Divide each side by '6'.
x = 0.1666666667 + -0.1666666667y

Simplifying
x = 0.1666666667 + -0.1666666667y
Solution
x = {0, 0.1666666667 + -0.1666666667y}

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