How do I solve 6yx^2 +y-x-2xy^2?
You can write this as a quadratic equation in x or y. If in x, then you have
6yx^2 - (1+2y^2)x + y = 0
Then just apply the quadratic formula to get the rather nasty result of
x = [(1+2y^2)±√(y^4-20y^2+1)] / 12y
or a similar ugly expression for y.
6yx^2 +y-x-2xy^2 =0
To solve the equation 6yx^2 + y - x - 2xy^2, you need to simplify the expression by combining like terms or grouping terms with common factors.
Step 1: Rearrange the equation
Rearrange the equation by combining like terms:
6yx^2 - 2xy^2 + y - x = 0
Step 2: Group terms
Group the terms with common factors:
(6yx^2 - 2xy^2) + (y - x) = 0
Step 3: Factor out common factors
Factor out common factors within each group:
2yx^2(3 - y) + 1(y - x) = 0
Step 4: Simplify
Multiply out the common factors to simplify the expression:
2yx^2(3 - y) + (y - x) = 0
The equation is now simplified, and you may further manipulate it to solve for specific variables or find possible solutions.