You have come to the correct place if you are looking to solve the quadratic equation negative 36x squared plus 75x minus 34 equals 0, also known as -36x² + 75x - 34 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -36x^2 + 75x - 34 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -36x² + 75x - 34 = 0.
Below is negative 36x squared plus 75x minus 34 in factored form. As you can see, -36x² + 75x - 34 has been grouped into two sets of parentheses.
-(12x - 17)(3x - 2)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -36x^2 + 75x - 34 = 0.
(12x - 17) = 0
x1 = 1 5/12
(3x - 2) = 0
x2 = 2/3
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