4x(6x+2y-5)=

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Solution for 4x(6x+2y-5)= equation: 


Simplifying
4x(6x + 2y + -5) = 0

Reorder the terms:
4x(-5 + 6x + 2y) = 0
(-5 * 4x + 6x * 4x + 2y * 4x) = 0

Reorder the terms:
(-20x + 8xy + 24x2) = 0
(-20x + 8xy + 24x2) = 0

Solving
-20x + 8xy + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-5 + 2y + 6x) = 0

Ignore the factor 4.

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 + 2y + 6x)' equal to zero and attempt to solve:

Simplifying
-5 + 2y + 6x = 0

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

Solving
-5 + 6x + 2y = 0

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

Add '5' to each side of the equation.
-5 + 6x + 5 + 2y = 0 + 5

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

Combine like terms: -5 + 5 = 0
0 + 6x + 2y = 0 + 5
6x + 2y = 0 + 5

Combine like terms: 0 + 5 = 5
6x + 2y = 5

Add '-2y' to each side of the equation.
6x + 2y + -2y = 5 + -2y

Combine like terms: 2y + -2y = 0
6x + 0 = 5 + -2y
6x = 5 + -2y

Divide each side by '6'.
x = 0.8333333333 + -0.3333333333y

Simplifying
x = 0.8333333333 + -0.3333333333y
Solution
x = {0, 0.8333333333 + -0.3333333333y}

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