8x^2+10xy-25y^2=0

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Solution for 8x^2+10xy-25y^2=0 equation:


Simplifying
8x2 + 10xy + -25y2 = 0

Reorder the terms:
10xy + 8x2 + -25y2 = 0

Solving
10xy + 8x2 + -25y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -5y)(2x + 5y) = 0

Subproblem 1

Set the factor '(4x + -5y)' equal to zero and attempt to solve: Simplifying 4x + -5y = 0 Solving 4x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 4x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 4x + 0 = 0 + 5y 4x = 0 + 5y Remove the zero: 4x = 5y Divide each side by '4'. x = 1.25y Simplifying x = 1.25y

Subproblem 2

Set the factor '(2x + 5y)' equal to zero and attempt to solve: Simplifying 2x + 5y = 0 Solving 2x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 2x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 2x + 0 = 0 + -5y 2x = 0 + -5y Remove the zero: 2x = -5y Divide each side by '2'. x = -2.5y Simplifying x = -2.5y

Solution

x = {1.25y, -2.5y}

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