Solve -36x² - 31x + 95 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 36x squared minus 31x plus 95 equals 0, also known as -36x² - 31x + 95 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -36x^2 - 31x + 95 = 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 - 31x + 95 = 0.

Below is negative 36x squared minus 31x plus 95 in factored form. As you can see, -36x² - 31x + 95 has been grouped into two sets of parentheses.

-(4x - 5)(9x + 19)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -36x^2 - 31x + 95 = 0.

(4x - 5) = 0
x₁ = 1 1/4

(9x + 19) = 0
x₂ = -2 1/9

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