Solve -51x² - 46x + 65 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 51x squared minus 46x plus 65 equals 0, also known as -51x² - 46x + 65 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -51x^2 - 46x + 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 -51x² - 46x + 65 = 0.

Below is negative 51x squared minus 46x plus 65 in factored form. As you can see, -51x² - 46x + 65 has been grouped into two sets of parentheses.

-(17x - 13)(3x + 5)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -51x^2 - 46x + 65 = 0.

(17x - 13) = 0
x₁ = 13/17

(3x + 5) = 0
x₂ = -1 2/3

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