Solve x^2-6x+9=x^2+3x+7

$${ x }^{ 2 } -6x+9= { x }^{ 2 } +3x+7$$

Solve for x

$$x=\frac{2}{9}\approx 0.222222222$$

Steps for Solving Linear Equation

Subtract x^{2} from both sides.

$$x^{2}-6x+9-x^{2}=3x+7$$

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

$$-6x+9=3x+7$$

Subtract 3x from both sides.

$$-6x+9-3x=7$$

Combine -6x and -3x to get -9x.

$$-9x+9=7$$

Subtract 9 from both sides.

$$-9x=7-9$$

Subtract 9 from 7 to get -2.

$$-9x=-2$$

Divide both sides by -9.

$$x=\frac{-2}{-9}$$

Fraction \frac{-2}{-9} can be simplified to \frac{2}{9} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{2}{9}$$