Solve -18x² - 21x + 49 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 18x squared minus 21x plus 49 equals 0, also known as -18x² - 21x + 49 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -18x^2 - 21x + 49 = 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 - 21x + 49 = 0.

Below is negative 18x squared minus 21x plus 49 in factored form. As you can see, -18x² - 21x + 49 has been grouped into two sets of parentheses.

-(6x - 7)(3x + 7)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -18x^2 - 21x + 49 = 0.

(6x - 7) = 0
x₁ = 1 1/6

(3x + 7) = 0
x₂ = -2 1/3

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