Solve -24x² - 2x + 57 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 24x squared minus 2x plus 57 equals 0, also known as -24x² - 2x + 57 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -24x^2 - 2x + 57 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -24x² - 2x + 57 = 0.

Below is negative 24x squared minus 2x plus 57 in factored form. As you can see, -24x² - 2x + 57 has been grouped into two sets of parentheses.

-(2x - 3)(12x + 19)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -24x^2 - 2x + 57 = 0.

(2x - 3) = 0
x₁ = 1 1/2

(12x + 19) = 0
x₂ = -1 7/12

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