Solve 20x² + 45x + 10 = 0

You have come to the correct place if you are looking to solve the quadratic equation 20x squared plus 45x plus 10 equals 0, also known as 20x² + 45x + 10 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 20x^2 + 45x + 10 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve 20x² + 45x + 10 = 0.

Below is 20x squared plus 45x plus 10 in factored form. As you can see, 20x² + 45x + 10 has been grouped into two sets of parentheses.

(20x + 5)(x + 2)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 20x^2 + 45x + 10 = 0.

(20x + 5) = 0
x₁ = -1/4

(x + 2) = 0
x₂ = -2

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