Final answer:
To simplify an equation like (x)/(a) - b = c, you first use the addition property of equality by adding 'b' to both sides. Then, you multiply both sides by 'a' to solve for 'x'. For quadratic equations, the quadratic formula is used to find solutions.
Step-by-step explanation:
When solving the equation of the form (x)/(a) - b = c, the first property of equality that is typically used to simplify the equation is the addition property of equality. This involves adding 'b' to both sides of the equation to isolate the term containing 'x' on one side. Following this, you would multiply both sides by 'a' to solve for 'x'.
The initial step to addressing the equation will look like this:
- (x)/(a) - b + b = c + b
- (x)/(a) = c + b
And by multiplying both sides by 'a', you get:
This simplified equation can then be solved directly for 'x'. If you are faced with a quadratic equation such as ax² + bx + c = 0, you would use the quadratic formula to find the solutions of 'x'.