You have come to the correct place if you are looking to solve the quadratic equation negative 7x squared plus 27x plus 40 equals 0, also known as -7x² + 27x + 40 = 0. Below, we walk you through how to find the answer.
To find the two possible answers to -7x^2 + 27x + 40 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -7x² + 27x + 40 = 0.
Below is negative 7x squared plus 27x plus 40 in factored form. As you can see, -7x² + 27x + 40 has been grouped into two sets of parentheses.
-(x - 5)(7x + 8)
Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -7x^2 + 27x + 40 = 0.
(x - 5) = 0
x1 = 5
(7x + 8) = 0
x2 = -1 1/7
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