Solve x^2 - 4xy^5y^2 6y 9 ≥ 0

Evaluate

x^{2} - 4 x y^{5} \times y^{2} \times 6 y \times 9 \geq 0

Multiply

More Steps

x^{2} - 216 x y^{8} \geq 0

Rewrite the expression

x^{2} - 216 y^{8} x \geq 0

Add the same value to both sides

x^{2} - 216 y^{8} x + 11664 y^{16} \geq 11664 y^{16}

Evaluate

(x - 108 y^{8})^{2} \geq 11664 y^{16}

Take the 2 -th root on both sides of the inequality

(x - 108 y^{8})^{2} \geq 11664 y^{16}

Calculate

x - 108 y^{8} \geq 108 y^{8}

Separate the inequality into 2 possible cases

x - 108 y^{8} \geq 108 y^{8} x - 108 y^{8} \leq - 108 y^{8}

Calculate

More Steps

x \geq 216 y^{8} x - 108 y^{8} \leq - 108 y^{8}

Cancel equal terms on both sides of the expression

x \geq 216 y^{8} x \leq 0

Solution

x \in (- \infty, 0] \cup {216 y^{8}}

Solve the inequality