8x^2-10xy-3y^2=

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Solution for 8x^2-10xy-3y^2= equation:


Simplifying
8x2 + -10xy + -3y2 = 0

Reorder the terms:
-10xy + 8x2 + -3y2 = 0

Solving
-10xy + 8x2 + -3y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -3y)(4x + y) = 0

Subproblem 1

Set the factor '(2x + -3y)' equal to zero and attempt to solve: Simplifying 2x + -3y = 0 Solving 2x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 2x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 2x + 0 = 0 + 3y 2x = 0 + 3y Remove the zero: 2x = 3y Divide each side by '2'. x = 1.5y Simplifying x = 1.5y

Subproblem 2

Set the factor '(4x + y)' equal to zero and attempt to solve: Simplifying 4x + y = 0 Solving 4x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 4x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 4x + 0 = 0 + -1y 4x = 0 + -1y Remove the zero: 4x = -1y Divide each side by '4'. x = -0.25y Simplifying x = -0.25y

Solution

x = {1.5y, -0.25y}

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