28x^2+3xy-18y^2=

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Solution for 28x^2+3xy-18y^2= equation: 


Simplifying
28x2 + 3xy + -18y2 = 0

Reorder the terms:
3xy + 28x2 + -18y2 = 0

Solving
3xy + 28x2 + -18y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -3y)(7x + 6y) = 0


Subproblem 1
Set the factor '(4x + -3y)' equal to zero and attempt to solve:

Simplifying
4x + -3y = 0

Solving
4x + -3y = 0

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

Add '3y' to each side of the equation.
4x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
4x + 0 = 0 + 3y
4x = 0 + 3y
Remove the zero:
4x = 3y

Divide each side by '4'.
x = 0.75y

Simplifying
x = 0.75y

Subproblem 2
Set the factor '(7x + 6y)' equal to zero and attempt to solve:

Simplifying
7x + 6y = 0

Solving
7x + 6y = 0

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

Add '-6y' to each side of the equation.
7x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0
7x + 0 = 0 + -6y
7x = 0 + -6y
Remove the zero:
7x = -6y

Divide each side by '7'.
x = -0.8571428571y

Simplifying
x = -0.8571428571y
Solution
x = {0.75y, -0.8571428571y}

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