You have come to the correct place if you are looking to solve the quadratic equation 18x squared minus 29x minus 40 equals 0, also known as 18x² - 29x - 40 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 18x^2 - 29x - 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 18x² - 29x - 40 = 0.
Below is 18x squared minus 29x minus 40 in factored form. As you can see, 18x² - 29x - 40 has been grouped into two sets of parentheses.
(2x - 5)(9x + 8)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 18x^2 - 29x - 40 = 0.
(2x - 5) = 0
x1 = 2 1/2
(9x + 8) = 0
x2 = -8/9
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