You have come to the correct place if you are looking to solve the quadratic equation 78x squared plus 89x minus 64 equals 0, also known as 78x² + 89x - 64 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 78x^2 + 89x - 64 = 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 - 64 = 0.
Below is 78x squared plus 89x minus 64 in factored form. As you can see, 78x² + 89x - 64 has been grouped into two sets of parentheses.
(2x - 1)(39x + 64)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 78x^2 + 89x - 64 = 0.
(2x - 1) = 0
x1 = 1/2
(39x + 64) = 0
x2 = -1 25/39
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