You have come to the correct place if you are looking to solve the quadratic equation negative 10x squared plus 77x minus 78 equals 0, also known as -10x² + 77x - 78 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -10x^2 + 77x - 78 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -10x² + 77x - 78 = 0.
Below is negative 10x squared plus 77x minus 78 in factored form. As you can see, -10x² + 77x - 78 has been grouped into two sets of parentheses.
-(2x - 13)(5x - 6)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -10x^2 + 77x - 78 = 0.
(2x - 13) = 0
x1 = 6 1/2
(5x - 6) = 0
x2 = 1 1/5
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