Solve 75x² - 25x + 2 = 0

You have come to the correct place if you are looking to solve the quadratic equation 75x squared minus 25x plus 2 equals 0, also known as 75x² - 25x + 2 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 75x^2 - 25x + 2 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 75x² - 25x + 2 = 0.

Below is 75x squared minus 25x plus 2 in factored form. As you can see, 75x² - 25x + 2 has been grouped into two sets of parentheses.

(5x - 1)(15x - 2)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 75x^2 - 25x + 2 = 0.

(5x - 1) = 0
x₁ = 1/5

(15x - 2) = 0
x₂ = 2/15

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