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Solve the equations by factoring the special cases. 7. x² + 8x + 16 = 0 8. 32 − 18n² = 0 9. 6p² = 864 10....

Solve the equations by factoring the special cases.
7. x² + 8x + 16 = 0
8. 32 − 18n² = 0
9. 6p² = 864
10. 27c² + 108 = −108c
11. x⁴ − 100x² = 0
12. 8k² − 98 = 0

Answer

  1. (x + 4)² = 0, so x = −4.

  2. 2(4 − 3n)(4 + 3n) = 0, so n = ±4/3.

  3. 6p² − 864 = 6(p − 12)(p + 12) = 0, so p = ±12.

  4. 27c² + 108c + 108 = 27(c + 2)² = 0, so c = −2.

  5. x²(x − 10)(x + 10) = 0, so x = −10, 0, 10.

  6. 2(2k − 7)(2k + 7) = 0, so k = ±7/2.

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