You have come to the correct place if you are looking to solve the quadratic equation negative 3x squared plus 67x minus 22 equals 0, also known as -3x² + 67x - 22 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -3x^2 + 67x - 22 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -3x² + 67x - 22 = 0.
Below is negative 3x squared plus 67x minus 22 in factored form. As you can see, -3x² + 67x - 22 has been grouped into two sets of parentheses.
-(x - 22)(3x - 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -3x^2 + 67x - 22 = 0.
(x - 22) = 0
x1 = 22
(3x - 1) = 0
x2 = 1/3
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