You have come to the correct place if you are looking to solve the quadratic equation negative 66x squared plus 89x minus 14 equals 0, also known as -66x² + 89x - 14 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -66x^2 + 89x - 14 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -66x² + 89x - 14 = 0.
Below is negative 66x squared plus 89x minus 14 in factored form. As you can see, -66x² + 89x - 14 has been grouped into two sets of parentheses.
-(6x - 7)(11x - 2)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -66x^2 + 89x - 14 = 0.
(6x - 7) = 0
x1 = 1 1/6
(11x - 2) = 0
x2 = 2/11
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