6x(2x+y-5)=

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Solution for 6x(2x+y-5)= equation: 


Simplifying
6x(2x + y + -5) = 0

Reorder the terms:
6x(-5 + 2x + y) = 0
(-5 * 6x + 2x * 6x + y * 6x) = 0

Reorder the terms:
(-30x + 6xy + 12x2) = 0
(-30x + 6xy + 12x2) = 0

Solving
-30x + 6xy + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-5 + y + 2x) = 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 '(-5 + y + 2x)' equal to zero and attempt to solve:

Simplifying
-5 + y + 2x = 0

Reorder the terms:
-5 + 2x + y = 0

Solving
-5 + 2x + y = 0

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

Add '5' to each side of the equation.
-5 + 2x + 5 + y = 0 + 5

Reorder the terms:
-5 + 5 + 2x + y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x + y = 0 + 5
2x + y = 0 + 5

Combine like terms: 0 + 5 = 5
2x + y = 5

Add '-1y' to each side of the equation.
2x + y + -1y = 5 + -1y

Combine like terms: y + -1y = 0
2x + 0 = 5 + -1y
2x = 5 + -1y

Divide each side by '2'.
x = 2.5 + -0.5y

Simplifying
x = 2.5 + -0.5y
Solution
x = {0, 2.5 + -0.5y}

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