3x^2-1xy-24y^2=

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Solution for 3x^2-1xy-24y^2= equation:


Simplifying
3x2 + -1xy + -24y2 = 0

Reorder the terms:
-1xy + 3x2 + -24y2 = 0

Solving
-1xy + 3x2 + -24y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -3y)(3x + 8y) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3x + 8y)' equal to zero and attempt to solve: Simplifying 3x + 8y = 0 Solving 3x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 3x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 3x + 0 = 0 + -8y 3x = 0 + -8y Remove the zero: 3x = -8y Divide each side by '3'. x = -2.666666667y Simplifying x = -2.666666667y

Solution

x = {3y, -2.666666667y}

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