-(6)/(7) x=0 i know what the answer is but i want to understand HOW to get the answer

Question

`-(6)/(7) x=0`

i know what the answer is but i want to understand HOW to get the answer

Answer 1

x = 0

Any number multiplied by 0 will equal 0.

Explanation:

MULTIPLICATION LAW

Let's get back to the basics that we usually never think about.

Multiplying means 'groups of'.

`-(6)/(7)x` is -6/7 times x.

The question says : -6/7 groups of x.

In a 'normal' example: 3 * 2 = 3 groups of 2.

If you have three groups of two dots each, you have six dots in total.

For (-6/7)(0), it does not matter how many groups of 0 you have. The total dots you have will still be 0. We need 0 dots for the equation to be true.

ALGEBRAICALLY

Solve by isolating (separating) 'x' from other numbers. Do this using reverse operations. The reverse operation of "multiply by -6/7" is "divide by -6/7".

`-(6)/(7)x=0` Divide both sides by -6/7

`-(6)/(7)x / -(6)/(7)=0/-(6)/(7)`

`x=0/-(6)/(7)` -6/7 is cancelled out on the left.

`x=0*(-7)/(6)` Multiply on the right

`x=(0*-7)/(6)` Combine as one fraction

`x=(0)/(6)` Put into calculator

`x=0`