The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown.5x2 + 27x = 14 − 13x5x2 + 40x = 145(x2 + 8x) = 14

To complete the square in x² + 8x, take half of 8 and square it: (8 ÷ 2)² = 16. Adding 16 inside the parentheses adds 5 × 16 = 80 to the left side, so add 80 to the right side as well: 14 + 80 = 94. The result is 5(x² + 8x + 16) = 94, choice B.

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