Question

What is the first step in solving the following equation

(x+2)(x-3)=0. PLEASE HELP ME QUICK ONLY HAVE 5 MINUTES
1.plug zero for x
2. solve for x
3. set each binomial factor equal to zero
4. foil

Answer 1

The first step in solving the equation is "set each binomial factor equal to zero" ⇒ 3

Explanation:

To solve a quadratic equation y = ax² + bx + c

• Put y = 0
• Factorize it into two binomial factors (x ± m)(x ± n)
• Equate each binomial factor by 0 to find the values of x
• The values of x are the solution of the equation

∵ The equation is (x + 2)(x - 3) = 0

∵ The equation equated by 0

∵ It is factored into 2 binomial factors (x + 2) and (x - 3)

- The next step is equated each factor by 0 to find the values of x

∴ The 1st step in solving (x + 2)(x - 3) = 0 is set x + 2 = 0 and

x - 3 = 0

The first step in solving the equation is "set each binomial factor equal to zero"