Solve H=(x-6)(x+6)

$$H = ( x - 6 ) ( x + 6 )$$

Solve for H

$$H=x^{2}-36$$

Solution Steps

Consider \left(x-6\right)\left(x+6\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Square 6.

$$H=x^{2}-36$$

Solve for x (complex solution)

$$x=-\sqrt{H+36}$$

$$x=\sqrt{H+36}$$

Solve for x

$$x=\sqrt{H+36}$$

$$x=-\sqrt{H+36}\text{, }H\geq -36$$