3(5x^2-18xy-8y^2)=0

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Solution for 3(5x^2-18xy-8y^2)=0 equation:


Simplifying
3(5x2 + -18xy + -8y2) = 0

Reorder the terms:
3(-18xy + 5x2 + -8y2) = 0
(-18xy * 3 + 5x2 * 3 + -8y2 * 3) = 0
(-54xy + 15x2 + -24y2) = 0

Solving
-54xy + 15x2 + -24y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-18xy + 5x2 + -8y2) = 0

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

Ignore the factor 3.

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 '(5x + 2y)' equal to zero and attempt to solve: Simplifying 5x + 2y = 0 Solving 5x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 5x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 5x + 0 = 0 + -2y 5x = 0 + -2y Remove the zero: 5x = -2y Divide each side by '5'. x = -0.4y Simplifying x = -0.4y

Solution

x = {4y, -0.4y}

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