Solve 3x^2/4sin(3)=0

$$\frac { 3 x ^ { 2 } } { 4 \sin ( 3 ) } = 0$$

Solve for x

$$x=0$$

Steps by Finding Square Root

Evaluate trigonometric functions in the problem

$$\frac{3 x ^ {2}}{4 \cdot 0.05233595624294383} = 0$$

Multiply 4 and 0.05233595624294383 to get 0.20934382497177532.

$$\frac{3x^{2}}{0.20934382497177532}=0$$

Divide 3x^{2} by 0.20934382497177532 to get \frac{75000000000000000}{5233595624294383}x^{2}.

$$\frac{75000000000000000}{5233595624294383}x^{2}=0$$

Divide both sides by \frac{75000000000000000}{5233595624294383}. 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

Evaluate trigonometric functions in the problem

$$\frac{3 x ^ {2}}{4 \cdot 0.05233595624294383} = 0$$

Multiply 4 and 0.05233595624294383 to get 0.20934382497177532.

$$\frac{3x^{2}}{0.20934382497177532}=0$$

Divide 3x^{2} by 0.20934382497177532 to get \frac{75000000000000000}{5233595624294383}x^{2}.

$$\frac{75000000000000000}{5233595624294383}x^{2}=0$$

Divide both sides by \frac{75000000000000000}{5233595624294383}. 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.

$$x=0$$