You have come to the correct place if you are looking to solve the quadratic equation negative 38x squared plus 57x minus 19 equals 0, also known as -38x² + 57x - 19 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -38x^2 + 57x - 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 -38x² + 57x - 19 = 0.
Below is negative 38x squared plus 57x minus 19 in factored form. As you can see, -38x² + 57x - 19 has been grouped into two sets of parentheses.
-(19x - 19)(2x - 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -38x^2 + 57x - 19 = 0.
(19x - 19) = 0
x1 = 1
(2x - 1) = 0
x2 = 1/2
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