You have come to the correct place if you are looking to solve the quadratic equation negative 51x squared minus 46x plus 21 equals 0, also known as -51x² - 46x + 21 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -51x^2 - 46x + 21 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -51x² - 46x + 21 = 0.
Below is negative 51x squared minus 46x plus 21 in factored form. As you can see, -51x² - 46x + 21 has been grouped into two sets of parentheses.
-(3x - 1)(17x + 21)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -51x^2 - 46x + 21 = 0.
(3x - 1) = 0
x1 = 1/3
(17x + 21) = 0
x2 = -1 4/17
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