Solve 30x² - 52x + 14 = 0

You have come to the correct place if you are looking to solve the quadratic equation 30x squared minus 52x plus 14 equals 0, also known as 30x² - 52x + 14 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 30x^2 - 52x + 14 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 30x² - 52x + 14 = 0.

Below is 30x squared minus 52x plus 14 in factored form. As you can see, 30x² - 52x + 14 has been grouped into two sets of parentheses.

(10x - 14)(3x - 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 30x^2 - 52x + 14 = 0.

(10x - 14) = 0
x₁ = 1 2/5

(3x - 1) = 0
x₂ = 1/3

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