You have come to the correct place if you are looking to solve the quadratic equation negative 42x squared plus 33x minus 6 equals 0, also known as -42x² + 33x - 6 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -42x^2 + 33x - 6 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -42x² + 33x - 6 = 0.
Below is negative 42x squared plus 33x minus 6 in factored form. As you can see, -42x² + 33x - 6 has been grouped into two sets of parentheses.
-(6x - 3)(7x - 2)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -42x^2 + 33x - 6 = 0.
(6x - 3) = 0
x1 = 1/2
(7x - 2) = 0
x2 = 2/7
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