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

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Solution for 3x(2x-5y+4)=0 equation: 


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

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

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

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

Solving for variable 'x'.

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

Simplifying
4 + -5y + 2x = 0

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

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

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

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

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

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

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

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

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

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