Solve 4x² - 15x + 14 = 0

You have come to the correct place if you are looking to solve the quadratic equation 4x squared minus 15x plus 14 equals 0, also known as 4x² - 15x + 14 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 4x^2 - 15x + 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 4x² - 15x + 14 = 0.

Below is 4x squared minus 15x plus 14 in factored form. As you can see, 4x² - 15x + 14 has been grouped into two sets of parentheses.

(x - 2)(4x - 7)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 4x^2 - 15x + 14 = 0.

(x - 2) = 0
x₁ = 2

(4x - 7) = 0
x₂ = 1 3/4

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