Solve -68x² - 96x + 65 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 68x squared minus 96x plus 65 equals 0, also known as -68x² - 96x + 65 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -68x^2 - 96x + 65 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -68x² - 96x + 65 = 0.

Below is negative 68x squared minus 96x plus 65 in factored form. As you can see, -68x² - 96x + 65 has been grouped into two sets of parentheses.

-(2x - 1)(34x + 65)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -68x^2 - 96x + 65 = 0.

(2x - 1) = 0
x₁ = 1/2

(34x + 65) = 0
x₂ = -1 31/34

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