Question 4 • Algebra I
Move 3 to the right to get 8x² + 16x = −3, then factor out 8: 8(x² + 2x) = −3, which is choice A. To complete the square, add 1 inside the parentheses; because it is multiplied by 8, this adds 8 to the left, so the right side becomes −3 + 8 = 5, as in choice C. Then (x + 1)² = 5/8, so x = −1 ± √(5/8), as stated in choice D.
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