Solve 65x² - 77x + 20 = 0

You have come to the correct place if you are looking to solve the quadratic equation 65x squared minus 77x plus 20 equals 0, also known as 65x² - 77x + 20 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 65x^2 - 77x + 20 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 65x² - 77x + 20 = 0.

Below is 65x squared minus 77x plus 20 in factored form. As you can see, 65x² - 77x + 20 has been grouped into two sets of parentheses.

(5x - 4)(13x - 5)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 65x^2 - 77x + 20 = 0.

(5x - 4) = 0
x₁ = 4/5

(13x - 5) = 0
x₂ = 5/13

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