You have come to the correct place if you are looking to solve the quadratic equation negative 4x squared plus 40x minus 51 equals 0, also known as -4x² + 40x - 51 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -4x^2 + 40x - 51 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -4x² + 40x - 51 = 0.
Below is negative 4x squared plus 40x minus 51 in factored form. As you can see, -4x² + 40x - 51 has been grouped into two sets of parentheses.
-(2x - 17)(2x - 3)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -4x^2 + 40x - 51 = 0.
(2x - 17) = 0
x1 = 8 1/2
(2x - 3) = 0
x2 = 1 1/2
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