8(t^2-2t+5)+4(t^2-3t+2)-6(2t^2-8)=

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Solution for 8(t^2-2t+5)+4(t^2-3t+2)-6(2t^2-8)= equation: 


Simplifying
8(t2 + -2t + 5) + 4(t2 + -3t + 2) + -6(2t2 + -8) = 0

Reorder the terms:
8(5 + -2t + t2) + 4(t2 + -3t + 2) + -6(2t2 + -8) = 0
(5 * 8 + -2t * 8 + t2 * 8) + 4(t2 + -3t + 2) + -6(2t2 + -8) = 0
(40 + -16t + 8t2) + 4(t2 + -3t + 2) + -6(2t2 + -8) = 0

Reorder the terms:
40 + -16t + 8t2 + 4(2 + -3t + t2) + -6(2t2 + -8) = 0
40 + -16t + 8t2 + (2 * 4 + -3t * 4 + t2 * 4) + -6(2t2 + -8) = 0
40 + -16t + 8t2 + (8 + -12t + 4t2) + -6(2t2 + -8) = 0

Reorder the terms:
40 + -16t + 8t2 + 8 + -12t + 4t2 + -6(-8 + 2t2) = 0
40 + -16t + 8t2 + 8 + -12t + 4t2 + (-8 * -6 + 2t2 * -6) = 0
40 + -16t + 8t2 + 8 + -12t + 4t2 + (48 + -12t2) = 0

Reorder the terms:
40 + 8 + 48 + -16t + -12t + 8t2 + 4t2 + -12t2 = 0

Combine like terms: 40 + 8 = 48
48 + 48 + -16t + -12t + 8t2 + 4t2 + -12t2 = 0

Combine like terms: 48 + 48 = 96
96 + -16t + -12t + 8t2 + 4t2 + -12t2 = 0

Combine like terms: -16t + -12t = -28t
96 + -28t + 8t2 + 4t2 + -12t2 = 0

Combine like terms: 8t2 + 4t2 = 12t2
96 + -28t + 12t2 + -12t2 = 0

Combine like terms: 12t2 + -12t2 = 0
96 + -28t + 0 = 0
96 + -28t = 0

Solving
96 + -28t = 0

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-96' to each side of the equation.
96 + -96 + -28t = 0 + -96

Combine like terms: 96 + -96 = 0
0 + -28t = 0 + -96
-28t = 0 + -96

Combine like terms: 0 + -96 = -96
-28t = -96

Divide each side by '-28'.
t = 3.428571429

Simplifying
t = 3.428571429

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