You have come to the correct place if you are looking to solve the quadratic equation 4x squared minus 14x minus 78 equals 0, also known as 4x² - 14x - 78 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 4x^2 - 14x - 78 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 4x² - 14x - 78 = 0.
Below is 4x squared minus 14x minus 78 in factored form. As you can see, 4x² - 14x - 78 has been grouped into two sets of parentheses.
(4x - 26)(x + 3)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 4x^2 - 14x - 78 = 0.
(4x - 26) = 0
x1 = 6 1/2
(x + 3) = 0
x2 = -3
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