Multiple choice

Solve the following equation: $(x - 5)(x + 3) = (x - 7)(x + 4)$

  1. $11$
  2. $-13$
  3. $-15$
  4. $18$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Expand both sides: x^2 - 2x - 15 = x^2 - 3x - 28. Subtract x^2 from both sides: -2x - 15 = -3x - 28. Add 3x to both sides: x - 15 = -28. Add 15 to both sides: x = -13.

AI explanation

Expand both sides of the equation to get x squared minus 2x minus 15 equals x squared minus 3x minus 28. Cancel the x squared term from both sides, leaving -2x - 15 = -3x - 28. Add 3x to both sides to get x - 15 = -28, and then add 15 to both sides to find x = -13.

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