-2(3x+3(-10xy+3x))=0

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Solution for -2(3x+3(-10xy+3x))=0 equation:


Simplifying
-2(3x + 3(-10xy + 3x)) = 0

Reorder the terms:
-2(3x + 3(3x + -10xy)) = 0
-2(3x + (3x * 3 + -10xy * 3)) = 0
-2(3x + (9x + -30xy)) = 0

Combine like terms: 3x + 9x = 12x
-2(12x + -30xy) = 0
(12x * -2 + -30xy * -2) = 0
(-24x + 60xy) = 0

Solving
-24x + 60xy = 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), '12x'.
12x(-2 + 5y) = 0

Ignore the factor 12.

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 '(-2 + 5y)' equal to zero and attempt to solve: Simplifying -2 + 5y = 0 Solving -2 + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5y = 0 + 2 5y = 0 + 2 Combine like terms: 0 + 2 = 2 5y = 2 Add '-5y' to each side of the equation. 5y + -5y = 2 + -5y Combine like terms: 5y + -5y = 0 0 = 2 + -5y Simplifying 0 = 2 + -5y 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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