hyung-eun is solving the quadratic equation x^2 - 4x - 12 = 0 by grouping. Her work is shown below at which steps does hyung-eun first make an error
x^2 - 4x -12=0
To find the errors, let's go through the steps of solving the quadratic equation by grouping provided by Hyung-eun:
x^2 - 4x - 12 = 0
Step 1: Factor the quadratic equation:
(x - 6)(x + 2) = 0
Step 2: Set each factor equal to zero and solve for x:
x - 6 = 0 or x + 2 = 0
Step 3: Solve for x in each equation:
x = 6 or x = -2
From the given steps, it doesn't seem like there are any errors made by Hyung-eun. The factored form of the quadratic equation is correct, and the solutions obtained from setting each factor equal to zero are accurate.