Solve -36x² + 100x + 91 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 36x squared plus 100x plus 91 equals 0, also known as -36x² + 100x + 91 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -36x^2 + 100x + 91 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -36x² + 100x + 91 = 0.

Below is negative 36x squared plus 100x plus 91 in factored form. As you can see, -36x² + 100x + 91 has been grouped into two sets of parentheses.

-(2x - 7)(18x + 13)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -36x^2 + 100x + 91 = 0.

(2x - 7) = 0
x₁ = 3 1/2

(18x + 13) = 0
x₂ = -13/18

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