You have come to the correct place if you are looking to solve the quadratic equation 7x squared plus 49x minus 56 equals 0, also known as 7x² + 49x - 56 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to 7x^2 + 49x - 56 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 7x² + 49x - 56 = 0.
Below is 7x squared plus 49x minus 56 in factored form. As you can see, 7x² + 49x - 56 has been grouped into two sets of parentheses.
(7x - 7)(x + 8)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 7x^2 + 49x - 56 = 0.
(7x - 7) = 0
x1 = 1
(x + 8) = 0
x2 = -8
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