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

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


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

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

Combine like terms: 4y + 5y = 9y
3x + -2x(-3 + 9y) = 0
3x + (-3 * -2x + 9y * -2x) = 0
3x + (6x + -18xy) = 0

Combine like terms: 3x + 6x = 9x
9x + -18xy = 0

Solving
9x + -18xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '9x'.
9x(1 + -2y) = 0

Ignore the factor 9.

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 '(1 + -2y)' equal to zero and attempt to solve:

Simplifying
1 + -2y = 0

Solving
1 + -2y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2y = 0 + -1

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

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

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

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

Simplifying
0 = -1 + 2y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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