Solve -80x² - 51x + 92 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 80x squared minus 51x plus 92 equals 0, also known as -80x² - 51x + 92 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -80x^2 - 51x + 92 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -80x² - 51x + 92 = 0.

Below is negative 80x squared minus 51x plus 92 in factored form. As you can see, -80x² - 51x + 92 has been grouped into two sets of parentheses.

-(5x - 4)(16x + 23)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -80x^2 - 51x + 92 = 0.

(5x - 4) = 0
x₁ = 4/5

(16x + 23) = 0
x₂ = -1 7/16

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