49x^3y-112x^2y^2+64xy^3=

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Solution for 49x^3y-112x^2y^2+64xy^3= equation: 


Simplifying
49x3y + -112x2y2 + 64xy3 = 0

Reorder the terms:
64xy3 + -112x2y2 + 49x3y = 0

Solving
64xy3 + -112x2y2 + 49x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(64y2 + -112xy + 49x2) = 0

Factor a trinomial.
xy((8y + -7x)(8y + -7x)) = 0


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

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

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 '(8y + -7x)' equal to zero and attempt to solve:

Simplifying
8y + -7x = 0

Reorder the terms:
-7x + 8y = 0

Solving
-7x + 8y = 0

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

Add '-8y' to each side of the equation.
-7x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
-7x + 0 = 0 + -8y
-7x = 0 + -8y
Remove the zero:
-7x = -8y

Divide each side by '-7'.
x = 1.142857143y

Simplifying
x = 1.142857143y

Subproblem 3
Set the factor '(8y + -7x)' equal to zero and attempt to solve:

Simplifying
8y + -7x = 0

Reorder the terms:
-7x + 8y = 0

Solving
-7x + 8y = 0

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

Add '-8y' to each side of the equation.
-7x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
-7x + 0 = 0 + -8y
-7x = 0 + -8y
Remove the zero:
-7x = -8y

Divide each side by '-7'.
x = 1.142857143y

Simplifying
x = 1.142857143y
Solution
x = {1.142857143y, 1.142857143y}

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