Solve -7x² + 33x + 40 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 7x squared plus 33x plus 40 equals 0, also known as -7x² + 33x + 40 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -7x^2 + 33x + 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 + 33x + 40 = 0.

Below is negative 7x squared plus 33x plus 40 in factored form. As you can see, -7x² + 33x + 40 has been grouped into two sets of parentheses.

-(7x - 40)(x + 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -7x^2 + 33x + 40 = 0.

(7x - 40) = 0
x₁ = 5 5/7

(x + 1) = 0
x₂ = -1

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