Question

Solve for all values of x by factoring.
x² + 3x − 35 = 3x + 1
Answer: x =

Answer 1

Answer: x = 6

Explanation:

Step 1: Subtract 3x from both sides

1. x² + 3x - 3x - 35 = 3x - 3x + 1 → x² - 35 = 1

Step 2: Add 35 to both sides to get x by itself

2. x² = 36

Step 3: Find the square root of both sides

3. x = 6

Answer 2

Answer: 6 or -6

Explanation:

One way we can do this is to simplify it completely. We have:

x^2 + 3x - 35 = 3x + 1.

When we take the 3x + 1 to the other side, we make it negative to get:

x^2 + 3x - 35 - 3x - 1 = 0

Simplifying we get:

x^2 - 36 = 0

When factoring this in:

(x+6)(x-6)

So x = +6 or -6