Question

What are the solutions to the equation ( 5 x − 15 ) 2 = − 100 ?

Answer 1

x = -7

Explanation:

`\left(5x-15\right)\cdot \:2=-100\\\\(\left(5x-15\right)\cdot \:2)/(2)=(-100)/(2)\\5x-15=-50\\5x-15+15=-50+15\\5x=-35\\\\(5x)/(5)=(-35)/(5)\\\\x=-7`

Answer 2

x = -7

Explanation:

( 5 x − 15 ) 2 = − 100

10x - 30 = - 100

10x = -70

x = -7