(2t-3)(2t-3)=2t+2t+5t-51

Solution for (2t-3)(2t-3)=2t+2t+5t-51 equation:

Simplifying
(2t + -3)(2t + -3) = 2t + 2t + 5t + -51

Reorder the terms:
(-3 + 2t)(2t + -3) = 2t + 2t + 5t + -51

Reorder the terms:
(-3 + 2t)(-3 + 2t) = 2t + 2t + 5t + -51

Multiply (-3 + 2t) * (-3 + 2t)
(-3(-3 + 2t) + 2t * (-3 + 2t)) = 2t + 2t + 5t + -51
((-3 * -3 + 2t * -3) + 2t * (-3 + 2t)) = 2t + 2t + 5t + -51
((9 + -6t) + 2t * (-3 + 2t)) = 2t + 2t + 5t + -51
(9 + -6t + (-3 * 2t + 2t * 2t)) = 2t + 2t + 5t + -51
(9 + -6t + (-6t + 4t2)) = 2t + 2t + 5t + -51

Combine like terms: -6t + -6t = -12t
(9 + -12t + 4t2) = 2t + 2t + 5t + -51

Reorder the terms:
9 + -12t + 4t2 = -51 + 2t + 2t + 5t

Combine like terms: 2t + 2t = 4t
9 + -12t + 4t2 = -51 + 4t + 5t

Combine like terms: 4t + 5t = 9t
9 + -12t + 4t2 = -51 + 9t

Solving
9 + -12t + 4t2 = -51 + 9t

Solving for variable 't'.

Reorder the terms:
9 + 51 + -12t + -9t + 4t2 = -51 + 9t + 51 + -9t

Combine like terms: 9 + 51 = 60
60 + -12t + -9t + 4t2 = -51 + 9t + 51 + -9t

Combine like terms: -12t + -9t = -21t
60 + -21t + 4t2 = -51 + 9t + 51 + -9t

Reorder the terms:
60 + -21t + 4t2 = -51 + 51 + 9t + -9t

Combine like terms: -51 + 51 = 0
60 + -21t + 4t2 = 0 + 9t + -9t
60 + -21t + 4t2 = 9t + -9t

Combine like terms: 9t + -9t = 0
60 + -21t + 4t2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
15 + -5.25t + t2 = 0

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -5.25t + -15 + t2 = 0 + -15

Reorder the terms:
15 + -15 + -5.25t + t2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -5.25t + t2 = 0 + -15
-5.25t + t2 = 0 + -15

Combine like terms: 0 + -15 = -15
-5.25t + t2 = -15

The t term is -5.25t.  Take half its coefficient (-2.625).
Square it (6.890625) and add it to both sides.

Add '6.890625' to each side of the equation.
-5.25t + 6.890625 + t2 = -15 + 6.890625

Reorder the terms:
6.890625 + -5.25t + t2 = -15 + 6.890625

Combine like terms: -15 + 6.890625 = -8.109375
6.890625 + -5.25t + t2 = -8.109375

Factor a perfect square on the left side:
(t + -2.625)(t + -2.625) = -8.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.