Question

What is 3x x 4y simplified?

Answer 1

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}