Solve -65x² - 89x + 46 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 65x squared minus 89x plus 46 equals 0, also known as -65x² - 89x + 46 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -65x^2 - 89x + 46 = 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 - 89x + 46 = 0.

Below is negative 65x squared minus 89x plus 46 in factored form. As you can see, -65x² - 89x + 46 has been grouped into two sets of parentheses.

-(5x - 2)(13x + 23)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -65x^2 - 89x + 46 = 0.

(5x - 2) = 0
x₁ = 2/5

(13x + 23) = 0
x₂ = -1 10/13

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