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

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


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

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

Reorder the terms:
(20x + -25xy + -15x2y) = 0
(20x + -25xy + -15x2y) = 0

Solving
20x + -25xy + -15x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(4 + -5y + -3xy) = 0

Ignore the factor 5.

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 + -3xy)' equal to zero and attempt to solve:

Simplifying
4 + -5y + -3xy = 0

Reorder the terms:
4 + -3xy + -5y = 0

Solving
4 + -3xy + -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 + -3xy + -4 + -5y = 0 + -4

Reorder the terms:
4 + -4 + -3xy + -5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3xy + -5y = 0 + -4
-3xy + -5y = 0 + -4

Combine like terms: 0 + -4 = -4
-3xy + -5y = -4

Add '5y' to each side of the equation.
-3xy + -5y + 5y = -4 + 5y

Combine like terms: -5y + 5y = 0
-3xy + 0 = -4 + 5y
-3xy = -4 + 5y

Divide each side by '-3y'.
x = 1.333333333y-1 + -1.666666667

Simplifying
x = 1.333333333y-1 + -1.666666667

Reorder the terms:
x = -1.666666667 + 1.333333333y-1
Solution
x = {0, -1.666666667 + 1.333333333y-1}

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