Solve w=frac{-4pmsqrt{16}*4*-96}{2x}

$$w = \frac { - 4 \pm \sqrt { 16 } \cdot 4 \cdot - 96 } { 2 x }$$

Solve for x

$$x\neq 0$$

$$w=0\text{ and }-4±\left(-1536\right)=0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x.

$$w\times 2x=-4±4\sqrt{16}\left(-96\right)$$

Calculate the square root of 16 and get 4.

$$w\times 2x=-4±4\times 4\left(-96\right)$$

Multiply 4 and 4 to get 16.

$$w\times 2x=-4±16\left(-96\right)$$

Multiply 16 and -96 to get -1536.

$$w\times 2x=-4±\left(-1536\right)$$

The equation is in standard form.

$$2wx=-4±\left(-1536\right)$$

Divide both sides by 2w.

$$\frac{2wx}{2w}=\frac{-4±\left(-1536\right)}{2w}$$

Dividing by 2w undoes the multiplication by 2w.

$$x=\frac{-4±\left(-1536\right)}{2w}$$

Variable x cannot be equal to 0.

$$x=\frac{-4±\left(-1536\right)}{2w}\text{, }x\neq 0$$

Solve for w

$$w=\frac{-4±\left(-1536\right)}{2x}$$

$$x\neq 0$$