9x^2+50xy-24y^2=0

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Solution for 9x^2+50xy-24y^2=0 equation:


Simplifying
9x2 + 50xy + -24y2 = 0

Reorder the terms:
50xy + 9x2 + -24y2 = 0

Solving
50xy + 9x2 + -24y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9x + -4y)(x + 6y) = 0

Subproblem 1

Set the factor '(9x + -4y)' equal to zero and attempt to solve: Simplifying 9x + -4y = 0 Solving 9x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 9x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 9x + 0 = 0 + 4y 9x = 0 + 4y Remove the zero: 9x = 4y Divide each side by '9'. x = 0.4444444444y Simplifying x = 0.4444444444y

Subproblem 2

Set the factor '(x + 6y)' equal to zero and attempt to solve: Simplifying x + 6y = 0 Solving x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 x + 0 = 0 + -6y x = 0 + -6y Remove the zero: x = -6y Simplifying x = -6y

Solution

x = {0.4444444444y, -6y}

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