MATH SOLVE

4 months ago

Q:
# What is the greatest common factor for 12x^5y and 32x^6y

Accepted Solution

A:

Simplifying
12x5y = 32x6y
Solving
12x5y = 32x6y
Solving for variable 'x'.
Combine like terms: 32x6y + -32x6y = 0
12x5y + -32x6y = 0
Factor out the Greatest Common Factor (GCF), '4x5y'.
4x5y(3 + -8x) = 0
Ignore the factor 4.
Subproblem 1Set the factor 'x5y' equal to zero and attempt to solve:
Simplifying
x5y = 0
Solving
x5y = 0
Move all terms containing x to the left, all other terms to the right.
Simplifying
x5y = 0
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.
Subproblem 2Set the factor '(3 + -8x)' equal to zero and attempt to solve:
Simplifying
3 + -8x = 0
Solving
3 + -8x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -8x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3
Combine like terms: 0 + -3 = -3
-8x = -3
Divide each side by '-8'.
x = 0.375
Simplifying
x = 0.375Solutionx = {0.375}