You have come to the correct place if you are looking to solve the quadratic equation 78x squared plus 89x minus 94 equals 0, also known as 78x² + 89x - 94 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 78x^2 + 89x - 94 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 78x² + 89x - 94 = 0.
Below is 78x squared plus 89x minus 94 in factored form. As you can see, 78x² + 89x - 94 has been grouped into two sets of parentheses.
(3x - 2)(26x + 47)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 78x^2 + 89x - 94 = 0.
(3x - 2) = 0
x1 = 2/3
(26x + 47) = 0
x2 = -1 21/26
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