Answer:
x = 0
Any number multiplied by 0 will equal 0.
Step-by-step explanation:
MULTIPLICATION LAW
Let's get back to the basics that we usually never think about.
Multiplying means 'groups of'.
[tex]-\frac{6}{7}x[/tex] 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".
[tex]-\frac{6}{7}x=0[/tex] Divide both sides by -6/7
[tex]-\frac{6}{7}x / -\frac{6}{7}=0/-\frac{6}{7}[/tex]
[tex]x=0/-\frac{6}{7}[/tex] -6/7 is cancelled out on the left.
[tex]x=0*\frac{-7}{6}[/tex] Multiply on the right
[tex]x=\frac{0*-7}{6}[/tex] Combine as one fraction
[tex]x=\frac{0}{6}[/tex] Put into calculator
[tex]x=0[/tex]
