You have come to the correct place if you are looking to solve the quadratic equation negative 5x squared minus 37x minus 54 equals 0, also known as -5x² - 37x - 54 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -5x^2 - 37x - 54 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -5x² - 37x - 54 = 0.
Below is negative 5x squared minus 37x minus 54 in factored form. As you can see, -5x² - 37x - 54 has been grouped into two sets of parentheses.
-(x + 2)(5x + 27)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -5x^2 - 37x - 54 = 0.
(x + 2) = 0
x1 = -2
(5x + 27) = 0
x2 = -5 2/5
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