You have come to the correct place if you are looking to solve the quadratic equation negative 10x squared plus 75x minus 65 equals 0, also known as -10x² + 75x - 65 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -10x^2 + 75x - 65 = 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 + 75x - 65 = 0.
Below is negative 10x squared plus 75x minus 65 in factored form. As you can see, -10x² + 75x - 65 has been grouped into two sets of parentheses.
-(10x - 65)(x - 1)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -10x^2 + 75x - 65 = 0.
(10x - 65) = 0
x1 = 6 1/2
(x - 1) = 0
x2 = 1
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