Solve -7x² - 91x + 98 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 7x squared minus 91x plus 98 equals 0, also known as -7x² - 91x + 98 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -7x^2 - 91x + 98 = 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 - 91x + 98 = 0.

Below is negative 7x squared minus 91x plus 98 in factored form. As you can see, -7x² - 91x + 98 has been grouped into two sets of parentheses.

-(7x - 7)(x + 14)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -7x^2 - 91x + 98 = 0.

(7x - 7) = 0
x₁ = 1

(x + 14) = 0
x₂ = -14

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