8 + 6t - 3t + t would equal 12t^3? First one gets Brainliest Answer!

8 + 6t - 3t + t = 12t³

8 + 3t + t = 12t³

8 + 4t = 12t³

-12t³ + 4t + 8 = 0

-4 (3t³) - 4 (t) - 4 (2) = 0

-4 (3t³ - t - 2) = 0

-4 - 4

3t³ - t - 2 = 0

3t³ + 3t² - 3t² + 2t - 3t - 2 = 0

3t³ + 3t² + 2t - 3t² - 3t - 2 = 0

t (3t²) + t (3t) + t (2) - 1 (3t²) - 1 (3t) - 1 (2) = 0

t (3t² + 3t + 2) - 1 (3t² + 3t + 2) = 0

(t - 1) (3t² + 3t + 2) = 0

t - 1 = 0 or 3t² + 3t + 2 = 0

+ 1 + 1 t = - (3) ± √ ((-3) ² - 4 (3) (2))

t = 1 2 (3)

t = - 3 ± √ (9 - 24)

6

t = - 3 ± √ (-15)

6

t = - 3 ± i√ (15)

6

t = ⁻¹/₂ ± ¹/₆i√ (15)

t = ⁻¹/₂ + ¹/₆i√ (15) or t = ⁻¹/₂ - ¹/₆i√ (15)

Solution Set: {1, ⁻¹/₂ ± ¹/₆i√ (15) }