4x^2-10xy-24y^2=

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Solution for 4x^2-10xy-24y^2= equation:


Simplifying
4x2 + -10xy + -24y2 = 0

Reorder the terms:
-10xy + 4x2 + -24y2 = 0

Solving
-10xy + 4x2 + -24y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5xy + 2x2 + -12y2) = 0

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

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

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

Solution

x = {4y, -1.5y}

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