Solve 2^4*x^2*3=0

$$2 ^ { 4 } \cdot x ^ { 2 } \cdot 3 = 0$$

Solve for x

$$x=0$$

Steps by Finding Square Root

Calculate 2 to the power of 4 and get 16.

$$16x^{2}\times 3=0$$

Multiply 16 and 3 to get 48.

$$48x^{2}=0$$

Divide both sides by 48. Zero divided by any non-zero number gives zero.

$$x^{2}=0$$

Take the square root of both sides of the equation.

$$x=0 x=0$$

The equation is now solved. Solutions are the same.

$$x=0$$

Steps Using the Quadratic Formula

Calculate 2 to the power of 4 and get 16.

$$16x^{2}\times 3=0$$

Multiply 16 and 3 to get 48.

$$48x^{2}=0$$

Divide both sides by 48. Zero divided by any non-zero number gives zero.

$$x^{2}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 0 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}}}{2}$$

Take the square root of 0^{2}.

$$x=\frac{0±0}{2}$$

Divide 0 by 2.

$$x=0$$