Answer:
x = {0, 4y}
Step-by-step explanation:
Simplifying
3x(x + -4y) = 0
(x * 3x + -4y * 3x) = 0
Reorder the terms:
(-12xy + 3x2) = 0
(-12xy + 3x2) = 0
Solving
-12xy + 3x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '3x'.
3x(-4y + x) = 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 '(-4y + x)' equal to zero and attempt to solve:
Simplifying
-4y + x = 0
Reorder the terms:
x + -4y = 0
Solving
x + -4y = 0
Move all terms containing x to the left, all other terms to the right.
Add '4y' to each side of the equation.
x + -4y + 4y = 0 + 4y
Combine like terms: -4y + 4y = 0
x + 0 = 0 + 4y
x = 0 + 4y
Remove the zero:
x = 4y
Simplifying
x = 4y
Solution
x = {0, 4y}
