Solve -10x² - 9x + 58 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 10x squared minus 9x plus 58 equals 0, also known as -10x² - 9x + 58 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -10x^2 - 9x + 58 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -10x² - 9x + 58 = 0.

Below is negative 10x squared minus 9x plus 58 in factored form. As you can see, -10x² - 9x + 58 has been grouped into two sets of parentheses.

-(x - 2)(10x + 29)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -10x^2 - 9x + 58 = 0.

(x - 2) = 0
x₁ = 2

(10x + 29) = 0
x₂ = -2 9/10

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