10x^2y-29xy+10y=0

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Solution for 10x^2y-29xy+10y=0 equation: 


Simplifying
10x2y + -29xy + 10y = 0

Reorder the terms:
-29xy + 10x2y + 10y = 0

Solving
-29xy + 10x2y + 10y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-29x + 10x2 + 10) = 0

Factor a trinomial.
y((2x + -5)(5x + -2)) = 0


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

Simplifying
y = 0

Solving
y = 0

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

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

Simplifying
0 = -1y

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 '(2x + -5)' equal to zero and attempt to solve:

Simplifying
2x + -5 = 0

Reorder the terms:
-5 + 2x = 0

Solving
-5 + 2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 0 + 5
2x = 0 + 5

Combine like terms: 0 + 5 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

Subproblem 3
Set the factor '(5x + -2)' equal to zero and attempt to solve:

Simplifying
5x + -2 = 0

Reorder the terms:
-2 + 5x = 0

Solving
-2 + 5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + 5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 0 + 2
5x = 0 + 2

Combine like terms: 0 + 2 = 2
5x = 2

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {2.5, 0.4}

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