Solve 14x² - 24x + 10 = 0

You have come to the correct place if you are looking to solve the quadratic equation 14x squared minus 24x plus 10 equals 0, also known as 14x² - 24x + 10 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 14x^2 - 24x + 10 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 14x² - 24x + 10 = 0.

Below is 14x squared minus 24x plus 10 in factored form. As you can see, 14x² - 24x + 10 has been grouped into two sets of parentheses.

(2x - 2)(7x - 5)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 14x^2 - 24x + 10 = 0.

(2x - 2) = 0
x₁ = 1

(7x - 5) = 0
x₂ = 5/7

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