Solve -8x² - 45x + 53 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 8x squared minus 45x plus 53 equals 0, also known as -8x² - 45x + 53 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -8x^2 - 45x + 53 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -8x² - 45x + 53 = 0.

Below is negative 8x squared minus 45x plus 53 in factored form. As you can see, -8x² - 45x + 53 has been grouped into two sets of parentheses.

-(x - 1)(8x + 53)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -8x^2 - 45x + 53 = 0.

(x - 1) = 0
x₁ = 1

(8x + 53) = 0
x₂ = -6 5/8

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