Solve -11x² - 32x + 48 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 11x squared minus 32x plus 48 equals 0, also known as -11x² - 32x + 48 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -11x^2 - 32x + 48 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -11x² - 32x + 48 = 0.

Below is negative 11x squared minus 32x plus 48 in factored form. As you can see, -11x² - 32x + 48 has been grouped into two sets of parentheses.

-(11x - 12)(x + 4)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -11x^2 - 32x + 48 = 0.

(11x - 12) = 0
x₁ = 1 1/11

(x + 4) = 0
x₂ = -4

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