Solve x*(x+2)+0.6=x*x+1/5

$$x \times (x+2)+0.6=x \times x+ \frac{ 1 }{ 5 }$$

Solve for x

$$x=-0.2$$

Steps for Solving Linear Equation

Multiply x and x to get x^{2}.

$$x\left(x+2\right)+0.6=x^{2}+\frac{1}{5}$$

Use the distributive property to multiply x by x+2.

$$x^{2}+2x+0.6=x^{2}+\frac{1}{5}$$

Subtract x^{2} from both sides.

$$x^{2}+2x+0.6-x^{2}=\frac{1}{5}$$

Combine x^{2} and -x^{2} to get 0.

$$2x+0.6=\frac{1}{5}$$

Subtract 0.6 from both sides.

$$2x=\frac{1}{5}-0.6$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$2x=\frac{1}{5}-\frac{3}{5}$$

Since \frac{1}{5} and \frac{3}{5} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{1-3}{5}$$

Subtract 3 from 1 to get -2.

$$2x=-\frac{2}{5}$$

Divide both sides by 2.

$$x=\frac{-\frac{2}{5}}{2}$$

Express \frac{-\frac{2}{5}}{2} as a single fraction.

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

Multiply 5 and 2 to get 10.

$$x=\frac{-2}{10}$$

Reduce the fraction \frac{-2}{10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{1}{5}$$