# How do you find the zeros of #f(x)=25x^2+10x-24#?

##### 1 Answer

Feb 28, 2017

Zeroes, or x-intercepts, are **x = #4/5# and #-6/5#**

#### Explanation:

When a math problem asks to find the "zeroes" of the equation, it is asking for the x-intercepts of the equation. In other words, you must set the equation *equal to zero.*

Step 1: Set it equal to zero

Step 2: Move the equation to the left side by subtracting

You're left with:

Step 3: Factor!

Step 4: Set each side equal to zero.

Step 5: Solve until

Note: You can also double check by graphing and looking at the x-intercepts!

graph{y=25x^2+10x-24 [-7.9, 7.9, -3.95, 3.95]}