You have come to the correct place if you are looking to solve the quadratic equation negative 6x squared plus 34x minus 40 equals 0, also known as -6x² + 34x - 40 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -6x^2 + 34x - 40 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -6x² + 34x - 40 = 0.
Below is negative 6x squared plus 34x minus 40 in factored form. As you can see, -6x² + 34x - 40 has been grouped into two sets of parentheses.
-(2x - 8)(3x - 5)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -6x^2 + 34x - 40 = 0.
(2x - 8) = 0
x1 = 4
(3x - 5) = 0
x2 = 1 2/3
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