Solve (((x^2) 3x)^2)-(16((x^2) 3x))=36

Question

Solve the equation

x_{1} = - \frac{3 18}{3}, x_{2} = 36

Alternative Form

x_{1} \approx - 0.87358, x_{2} \approx 1.817121

Evaluate

(x^{2} \times 3 x)^{2} - (16 (x^{2} \times 3 x)) = 36

Remove the parentheses

(x^{2} \times 3 x)^{2} - (16 x^{2} \times 3 x) = 36

Simplify

More Steps

9 x^{6} - 48 x^{3} = 36

Move the expression to the left side

9 x^{6} - 48 x^{3} - 36 = 0

Factor the expression

3 (x^{3} - 6) (3 x^{3} + 2) = 0

Divide both sides

(x^{3} - 6) (3 x^{3} + 2) = 0

Separate the equation into 2 possible cases

x^{3} - 6 = 0 3 x^{3} + 2 = 0

Solve the equation

More Steps

x = 36 3 x^{3} + 2 = 0

Solve the equation

More Steps

x = 36 x = - \frac{3 18}{3}

Solution

x_{1} = - \frac{3 18}{3}, x_{2} = 36

Alternative Form

x_{1} \approx - 0.87358, x_{2} \approx 1.817121

Show Solution