3x(2x+4y-5)=

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Solution for 3x(2x+4y-5)= equation: 


Simplifying
3x(2x + 4y + -5) = 0

Reorder the terms:
3x(-5 + 2x + 4y) = 0
(-5 * 3x + 2x * 3x + 4y * 3x) = 0

Reorder the terms:
(-15x + 12xy + 6x2) = 0
(-15x + 12xy + 6x2) = 0

Solving
-15x + 12xy + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-5 + 4y + 2x) = 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 '(-5 + 4y + 2x)' equal to zero and attempt to solve:

Simplifying
-5 + 4y + 2x = 0

Reorder the terms:
-5 + 2x + 4y = 0

Solving
-5 + 2x + 4y = 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 + 4y = 0 + 5

Reorder the terms:
-5 + 5 + 2x + 4y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x + 4y = 0 + 5
2x + 4y = 0 + 5

Combine like terms: 0 + 5 = 5
2x + 4y = 5

Add '-4y' to each side of the equation.
2x + 4y + -4y = 5 + -4y

Combine like terms: 4y + -4y = 0
2x + 0 = 5 + -4y
2x = 5 + -4y

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

Simplifying
x = 2.5 + -2y
Solution
x = {0, 2.5 + -2y}

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