You have come to the correct place if you are looking to solve the quadratic equation negative 27x squared plus 54x minus 15 equals 0, also known as -27x² + 54x - 15 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -27x^2 + 54x - 15 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -27x² + 54x - 15 = 0.
Below is negative 27x squared plus 54x minus 15 in factored form. As you can see, -27x² + 54x - 15 has been grouped into two sets of parentheses.
-(9x - 15)(3x - 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -27x^2 + 54x - 15 = 0.
(9x - 15) = 0
x1 = 1 2/3
(3x - 1) = 0
x2 = 1/3
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