# How do you solve #h^2=-3h+54#?

##### 3 Answers

#### Explanation:

Rearrange to get

Factorise

#### Explanation:

#"arrange the equation in standard form"#

#rArrh^2+3h-54=0larrcolor(blue)"in standard form"#

#"the factors of - 54 which sum to + 3 are + 9 and - 6"#

#rArr(h+9)(h-6)=0#

#"equate each factor to zero and solve for h"#

#h+9=0rArrh=-9#

#h-6=0rArrh=6#

#### Explanation:

We have,

So, If,

and if,

Hence Explained.