12t^3-9t^2+28t=3t^2(4t-3)+7(4t-3)

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Solution for 12t^3-9t^2+28t=3t^2(4t-3)+7(4t-3) equation: 


Simplifying
12t3 + -9t2 + 28t = 3t2(4t + -3) + 7(4t + -3)

Reorder the terms:
28t + -9t2 + 12t3 = 3t2(4t + -3) + 7(4t + -3)

Reorder the terms:
28t + -9t2 + 12t3 = 3t2(-3 + 4t) + 7(4t + -3)
28t + -9t2 + 12t3 = (-3 * 3t2 + 4t * 3t2) + 7(4t + -3)
28t + -9t2 + 12t3 = (-9t2 + 12t3) + 7(4t + -3)

Reorder the terms:
28t + -9t2 + 12t3 = -9t2 + 12t3 + 7(-3 + 4t)
28t + -9t2 + 12t3 = -9t2 + 12t3 + (-3 * 7 + 4t * 7)
28t + -9t2 + 12t3 = -9t2 + 12t3 + (-21 + 28t)

Reorder the terms:
28t + -9t2 + 12t3 = -21 + 28t + -9t2 + 12t3

Add '-28t' to each side of the equation.
28t + -9t2 + -28t + 12t3 = -21 + 28t + -9t2 + -28t + 12t3

Reorder the terms:
28t + -28t + -9t2 + 12t3 = -21 + 28t + -9t2 + -28t + 12t3

Combine like terms: 28t + -28t = 0
0 + -9t2 + 12t3 = -21 + 28t + -9t2 + -28t + 12t3
-9t2 + 12t3 = -21 + 28t + -9t2 + -28t + 12t3

Reorder the terms:
-9t2 + 12t3 = -21 + 28t + -28t + -9t2 + 12t3

Combine like terms: 28t + -28t = 0
-9t2 + 12t3 = -21 + 0 + -9t2 + 12t3
-9t2 + 12t3 = -21 + -9t2 + 12t3

Add '9t2' to each side of the equation.
-9t2 + 9t2 + 12t3 = -21 + -9t2 + 9t2 + 12t3

Combine like terms: -9t2 + 9t2 = 0
0 + 12t3 = -21 + -9t2 + 9t2 + 12t3
12t3 = -21 + -9t2 + 9t2 + 12t3

Combine like terms: -9t2 + 9t2 = 0
12t3 = -21 + 0 + 12t3
12t3 = -21 + 12t3

Add '-12t3' to each side of the equation.
12t3 + -12t3 = -21 + 12t3 + -12t3

Combine like terms: 12t3 + -12t3 = 0
0 = -21 + 12t3 + -12t3

Combine like terms: 12t3 + -12t3 = 0
0 = -21 + 0
0 = -21

Solving
0 = -21

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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