Solve -24x² - 8x + 32 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 24x squared minus 8x plus 32 equals 0, also known as -24x² - 8x + 32 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -24x^2 - 8x + 32 = 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 - 8x + 32 = 0.

Below is negative 24x squared minus 8x plus 32 in factored form. As you can see, -24x² - 8x + 32 has been grouped into two sets of parentheses.

-(8x - 8)(3x + 4)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -24x^2 - 8x + 32 = 0.

(8x - 8) = 0
x₁ = 1

(3x + 4) = 0
x₂ = -1 1/3

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