Solve x=frac{-28-sqrt{28^2-4*2*96}}{2*2}

$$x = \frac{ -28- \sqrt{ { 28 }^{ 2 } -4 \cdot 2 \cdot 96 } }{ 2 \cdot 2 }$$

Solve for x

$$x=-8$$

Steps for Solving Linear Equation

Calculate 28 to the power of 2 and get 784.

$$x=\frac{-28-\sqrt{784-4\times 2\times 96}}{2\times 2}$$

Multiply 4 and 2 to get 8.

$$x=\frac{-28-\sqrt{784-8\times 96}}{2\times 2}$$

Multiply 8 and 96 to get 768.

$$x=\frac{-28-\sqrt{784-768}}{2\times 2}$$

Subtract 768 from 784 to get 16.

$$x=\frac{-28-\sqrt{16}}{2\times 2}$$

Calculate the square root of 16 and get 4.

$$x=\frac{-28-4}{2\times 2}$$

Subtract 4 from -28 to get -32.

$$x=\frac{-32}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$x=\frac{-32}{4}$$

Divide -32 by 4 to get -8.

$$x=-8$$

Assign x

$$x≔-8$$