(3y)(2x)(4x)=96

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Solution for (3y)(2x)(4x)=96 equation: 


Simplifying
(3y)(2x)(4x) = 96

Remove parenthesis around (3y)
3y(2x)(4x) = 96

Remove parenthesis around (2x)
3y * 2x(4x) = 96

Remove parenthesis around (4x)
3y * 2x * 4x = 96

Reorder the terms for easier multiplication:
3 * 2 * 4y * x * x = 96

Multiply 3 * 2
6 * 4y * x * x = 96

Multiply 6 * 4
24y * x * x = 96

Multiply y * x
24xy * x = 96

Multiply xy * x
24x2y = 96

Solving
24x2y = 96

Solving for variable 'x'.

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

Divide each side by '24y'.
x2 = 4y-1

Simplifying
x2 = 4y-1

Combine like terms: 4y-1 + -4y-1 = 0
x2 + -4y-1 = 0

Factor out the Greatest Common Factor (GCF), 'y-1'.
y-1(x2y + -4) = 0


Subproblem 1
Set the factor 'y-1' equal to zero and attempt to solve:

Simplifying
y-1 = 0

Solving
y-1 = 0

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

Add '-1y-1' to each side of the equation.
y-1 + -1y-1 = 0 + -1y-1
Remove the zero:
0 = -1y-1

Simplifying
0 = -1y-1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(x2y + -4)' equal to zero and attempt to solve:

Simplifying
x2y + -4 = 0

Reorder the terms:
-4 + x2y = 0

Solving
-4 + x2y = 0

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

Add '4' to each side of the equation.
-4 + 4 + x2y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x2y = 0 + 4
x2y = 0 + 4

Combine like terms: 0 + 4 = 4
x2y = 4

Divide each side by 'y'.
x2 = 4y-1

Simplifying
x2 = 4y-1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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