Solve 16x² - 54x + 38 = 0

You have come to the correct place if you are looking to solve the quadratic equation 16x squared minus 54x plus 38 equals 0, also known as 16x² - 54x + 38 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 16x^2 - 54x + 38 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 16x² - 54x + 38 = 0.

Below is 16x squared minus 54x plus 38 in factored form. As you can see, 16x² - 54x + 38 has been grouped into two sets of parentheses.

(16x - 38)(x - 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 16x^2 - 54x + 38 = 0.

(16x - 38) = 0
x₁ = 2 3/8

(x - 1) = 0
x₂ = 1

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