Solve 100x² - 80x + 16 = 0

You have come to the correct place if you are looking to solve the quadratic equation 100x squared minus 80x plus 16 equals 0, also known as 100x² - 80x + 16 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 100x^2 - 80x + 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 100x² - 80x + 16 = 0.

Below is 100x squared minus 80x plus 16 in factored form. As you can see, 100x² - 80x + 16 has been grouped into two sets of parentheses.

(20x - 8)(5x - 2)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 100x^2 - 80x + 16 = 0.

(20x - 8) = 0
x₁ = 2/5

(5x - 2) = 0
x₂ = 2/5

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