You have come to the correct place if you are looking to solve the quadratic equation negative 2x squared plus 21x minus 19 equals 0, also known as -2x² + 21x - 19 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -2x^2 + 21x - 19 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -2x² + 21x - 19 = 0.
Below is negative 2x squared plus 21x minus 19 in factored form. As you can see, -2x² + 21x - 19 has been grouped into two sets of parentheses.
-(2x - 19)(x - 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -2x^2 + 21x - 19 = 0.
(2x - 19) = 0
x1 = 9 1/2
(x - 1) = 0
x2 = 1
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