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

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


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

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

Combine like terms: 4t + 8t = 12t
-12 + 12t = 6t(2t + 2) + -8

Reorder the terms:
-12 + 12t = 6t(2 + 2t) + -8
-12 + 12t = (2 * 6t + 2t * 6t) + -8
-12 + 12t = (12t + 12t2) + -8

Reorder the terms:
-12 + 12t = -8 + 12t + 12t2

Add '-12t' to each side of the equation.
-12 + 12t + -12t = -8 + 12t + -12t + 12t2

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

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

Solving
-12 = -8 + 12t2

Solving for variable 't'.

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

Add '-12t2' to each side of the equation.
-12 + -12t2 = -8 + 12t2 + -12t2

Combine like terms: 12t2 + -12t2 = 0
-12 + -12t2 = -8 + 0
-12 + -12t2 = -8

Add '12' to each side of the equation.
-12 + 12 + -12t2 = -8 + 12

Combine like terms: -12 + 12 = 0
0 + -12t2 = -8 + 12
-12t2 = -8 + 12

Combine like terms: -8 + 12 = 4
-12t2 = 4

Divide each side by '-12'.
t2 = -0.3333333333

Simplifying
t2 = -0.3333333333

Reorder the terms:
0.3333333333 + t2 = -0.3333333333 + 0.3333333333

Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000
0.3333333333 + t2 = 0.0000000000

The solution to this equation could not be determined.

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