Question

Solve each equation for x.

Answer 1

Answer:

a) x = 10

b) x = -40

c) x = 10, -40

Step-by-step explanation:

a)

$x-10=0$

Taking 10 to the right hand side 10 becomes positive

$\\\Rightarrow x=10$

So x = 10

b)

$\frac{x}{2}+20=0$

Taking 20 to the right hand side 20 becomes negative

$\frac{x}{2}=-20$

Multiplying both sides by 2

$x=-40$

So, x = -40

c)

$(x-10)(\frac{x}{2}+20)=0\\\Rightarrow x-10=0, \frac{x}{2}+20=0\\\Rightarrow x=10, \frac{x}{2}=-20\\\Rightarrow x=10, x=-40$

Hence, x = 10, -40

So, two solutions can be provided