Solve 8x² + 32x + 14 = 0

You have come to the correct place if you are looking to solve the quadratic equation 8x squared plus 32x plus 14 equals 0, also known as 8x² + 32x + 14 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to 8x^2 + 32x + 14 = 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 + 32x + 14 = 0.

Below is 8x squared plus 32x plus 14 in factored form. As you can see, 8x² + 32x + 14 has been grouped into two sets of parentheses.

(4x + 2)(2x + 7)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to 8x^2 + 32x + 14 = 0.

(4x + 2) = 0
x₁ = -1/2

(2x + 7) = 0
x₂ = -3 1/2

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