Solve -x² + 15x + 100 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative x squared plus 15x plus 100 equals 0, also known as -x² + 15x + 100 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -x^2 + 15x + 100 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -x² + 15x + 100 = 0.

Below is negative x squared plus 15x plus 100 in factored form. As you can see, -x² + 15x + 100 has been grouped into two sets of parentheses.

-(x - 20)(x + 5)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -x^2 + 15x + 100 = 0.

(x - 20) = 0
x₁ = 20

(x + 5) = 0
x₂ = -5

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