Solve 21x² - 59x + 40 = 0

You have come to the correct place if you are looking to solve the quadratic equation 21x squared minus 59x plus 40 equals 0, also known as 21x² - 59x + 40 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 21x^2 - 59x + 40 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 21x² - 59x + 40 = 0.

Below is 21x squared minus 59x plus 40 in factored form. As you can see, 21x² - 59x + 40 has been grouped into two sets of parentheses.

(3x - 5)(7x - 8)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 21x^2 - 59x + 40 = 0.

(3x - 5) = 0
x₁ = 1 2/3

(7x - 8) = 0
x₂ = 1 1/7

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