Solve -7x² + 31x + 90 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 7x squared plus 31x plus 90 equals 0, also known as -7x² + 31x + 90 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -7x^2 + 31x + 90 = 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 + 31x + 90 = 0.

Below is negative 7x squared plus 31x plus 90 in factored form. As you can see, -7x² + 31x + 90 has been grouped into two sets of parentheses.

-(7x - 45)(x + 2)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -7x^2 + 31x + 90 = 0.

(7x - 45) = 0
x₁ = 6 3/7

(x + 2) = 0
x₂ = -2

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