Solve x=frac{-2pmsqrt{(-2)^2-4}}{2a}

$$x = \frac { - 2 \pm \sqrt { ( - 2 ) ^ { 2 } - 4 } } { 2 a }$$

Solve for a

$$a=-\frac{1}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

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

$$x\times 2a=-2±\sqrt{\left(-2\right)^{2}-4}$$

Calculate -2 to the power of 2 and get 4.

$$x\times 2a=-2±\sqrt{4-4}$$

Subtract 4 from 4 to get 0.

$$x\times 2a=-2±\sqrt{0}$$

Calculate the square root of 0 and get 0.

$$x\times 2a=-2±0$$

The equation is in standard form.

$$2xa=-2$$

Divide both sides by 2x.

$$\frac{2xa}{2x}=-\frac{2}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$a=-\frac{2}{2x}$$

Divide -2 by 2x.

$$a=-\frac{1}{x}$$

Variable a cannot be equal to 0.

$$a=-\frac{1}{x}\text{, }a\neq 0$$

Solve for x

$$x=-\frac{1}{a}$$

$$a\neq 0$$