Solve -18x² - 56x + 74 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 18x squared minus 56x plus 74 equals 0, also known as -18x² - 56x + 74 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -18x^2 - 56x + 74 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -18x² - 56x + 74 = 0.

Below is negative 18x squared minus 56x plus 74 in factored form. As you can see, -18x² - 56x + 74 has been grouped into two sets of parentheses.

-(2x - 2)(9x + 37)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -18x^2 - 56x + 74 = 0.

(2x - 2) = 0
x₁ = 1

(9x + 37) = 0
x₂ = -4 1/9

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