35x^2y+21xy-14y=0

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Solution for 35x^2y+21xy-14y=0 equation: 


Simplifying
35x2y + 21xy + -14y = 0

Reorder the terms:
21xy + 35x2y + -14y = 0

Solving
21xy + 35x2y + -14y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7y'.
7y(3x + 5x2 + -2) = 0

Factor a trinomial.
7y((5x + -2)(x + 1)) = 0

Ignore the factor 7.

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 '(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

Subproblem 3
Set the factor '(x + 1)' equal to zero and attempt to solve:

Simplifying
x + 1 = 0

Reorder the terms:
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {0.4, -1}

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