Solve -6x² - 11x + 46 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 6x squared minus 11x plus 46 equals 0, also known as -6x² - 11x + 46 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -6x^2 - 11x + 46 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -6x² - 11x + 46 = 0.

Below is negative 6x squared minus 11x plus 46 in factored form. As you can see, -6x² - 11x + 46 has been grouped into two sets of parentheses.

-(x - 2)(6x + 23)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -6x^2 - 11x + 46 = 0.

(x - 2) = 0
x₁ = 2

(6x + 23) = 0
x₂ = -3 5/6

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