Solve -38x² + 57x + 38 = 0

You have come to the correct place if you are looking to solve the quadratic equation negative 38x squared plus 57x plus 38 equals 0, also known as -38x² + 57x + 38 = 0. Below, we walk you through how to find the answer.

To find the two possible answers to -38x^2 + 57x + 38 = 0, we will start by rewriting the equation in factored form. Then, we will create two separate equations that we can use to solve -38x² + 57x + 38 = 0.

Below is negative 38x squared plus 57x plus 38 in factored form. As you can see, -38x² + 57x + 38 has been grouped into two sets of parentheses.

-(19x - 38)(2x + 1)

Next, we set each set of parentheses equal to 0 and solve for x to get the two answers to -38x^2 + 57x + 38 = 0.

(19x - 38) = 0
x₁ = 2

(2x + 1) = 0
x₂ = -1/2

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