The equation on solving by factoring method yields no solution.
In this question,
A no solution equation is also known as contradiction. This type of equation is never true, no matter what we replace the variable with. There is no value that will ever satisfy this type of equation.
The equation is -(3z+4)=6z-3(3z+2)
Solving the equation by factoring gives,
⇒ -(3z+4) = 6z-3(3z+2)
By distributive property,
⇒ -3z - 4 = 6z - 3(3z) - 3(2)
⇒ -3z - 4 = 6z - 9z - 6
⇒ -3z - 4 = -3z - 6
On rearranging the equation,
⇒ -3z + 3z = -6 + 4
⇒ 0 = -2
Here LHS is not equal to RHS. Thus the equation on solving by factoring method yields no solution.
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