Solve 11x² - 30x + 16 = 0

You have come to the correct place if you are looking to solve the quadratic equation 11x squared minus 30x plus 16 equals 0, also known as 11x² - 30x + 16 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 11x^2 - 30x + 16 = 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 - 30x + 16 = 0.

Below is 11x squared minus 30x plus 16 in factored form. As you can see, 11x² - 30x + 16 has been grouped into two sets of parentheses.

(x - 2)(11x - 8)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 11x^2 - 30x + 16 = 0.

(x - 2) = 0
x₁ = 2

(11x - 8) = 0
x₂ = 8/11

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