Question
600=(40-2 x)(30-2 x) arrow Factor
Solution
4
(155 Votes)
Margo
Professional ยท Tutor for 6 years
Answer
###
Explanation
## Step 1: Expand the equation### Expand the right side of the equation using the FOIL method:
. So, the equation becomes
.## Step 2: Simplify the equation### Subtract 600 from both sides of the equation to set it equal to zero:
.## Step 3: Divide by the greatest common factor### Divide the entire equation by the greatest common factor, which is 4:
.## Step 4: Factor the quadratic equation### Find two numbers that multiply to 150 and add up to -35. These numbers are -30 and -5. Therefore, the factored form is
.