You have come to the correct place if you are looking to solve the quadratic equation 17x squared plus 14x minus 40 equals 0, also known as 17x² + 14x - 40 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 17x^2 + 14x - 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 17x² + 14x - 40 = 0.
Below is 17x squared plus 14x minus 40 in factored form. As you can see, 17x² + 14x - 40 has been grouped into two sets of parentheses.
(17x - 20)(x + 2)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 17x^2 + 14x - 40 = 0.
(17x - 20) = 0
x1 = 1 3/17
(x + 2) = 0
x2 = -2
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