Solve 1/2*264*x^2=1/2*978*(085)^2

$$\frac { 1 } { 2 } \times 264 \times x ^ { 2 } = \frac { 1 } { 2 } \times 978 \times ( 085 ) ^ { 2 }$$

Solve for x

$$x=0$$

Steps by Finding Square Root

Cancel out \frac{1}{2} on both sides.

$$264x^{2}=978\times \left(0\times 85\right)^{2}$$

Multiply 0 and 85 to get 0.

$$264x^{2}=978\times 0^{2}$$

Calculate 0 to the power of 2 and get 0.

$$264x^{2}=978\times 0$$

Multiply 978 and 0 to get 0.

$$264x^{2}=0$$

Divide both sides by 264. 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

Cancel out \frac{1}{2} on both sides.

$$264x^{2}=978\times \left(0\times 85\right)^{2}$$

Multiply 0 and 85 to get 0.

$$264x^{2}=978\times 0^{2}$$

Calculate 0 to the power of 2 and get 0.

$$264x^{2}=978\times 0$$

Multiply 978 and 0 to get 0.

$$264x^{2}=0$$

Divide both sides by 264. 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.

$$x=0$$