Solve x=frac{-5+sqrt{(5^2)-(4)(2)(-3)}}{2(2)}

$$x= \frac{ -5+ \sqrt{ ( { 5 }^{ 2 } )-(4)(2)(-3) } }{ 2(2) }$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Calculate 5 to the power of 2 and get 25.

$$x=\frac{-5+\sqrt{25-4\times 2\left(-3\right)}}{2\times 2}$$

Multiply 4 and 2 to get 8.

$$x=\frac{-5+\sqrt{25-8\left(-3\right)}}{2\times 2}$$

Multiply 8 and -3 to get -24.

$$x=\frac{-5+\sqrt{25-\left(-24\right)}}{2\times 2}$$

The opposite of -24 is 24.

$$x=\frac{-5+\sqrt{25+24}}{2\times 2}$$

Add 25 and 24 to get 49.

$$x=\frac{-5+\sqrt{49}}{2\times 2}$$

Calculate the square root of 49 and get 7.

$$x=\frac{-5+7}{2\times 2}$$

Add -5 and 7 to get 2.

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

Multiply 2 and 2 to get 4.

$$x=\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{1}{2}$$

Assign x

$$x≔\frac{1}{2}$$