12t^2+4t-5t+5=1

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Solution for 12t^2+4t-5t+5=1 equation:


Simplifying
12t2 + 4t + -5t + 5 = 1

Reorder the terms:
5 + 4t + -5t + 12t2 = 1

Combine like terms: 4t + -5t = -1t
5 + -1t + 12t2 = 1

Solving
5 + -1t + 12t2 = 1

Solving for variable 't'.

Reorder the terms:
5 + -1 + -1t + 12t2 = 1 + -1

Combine like terms: 5 + -1 = 4
4 + -1t + 12t2 = 1 + -1

Combine like terms: 1 + -1 = 0
4 + -1t + 12t2 = 0

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

Divide each side by '12'.
0.3333333333 + -0.08333333333t + t2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.08333333333t + -0.3333333333 + t2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.08333333333t + t2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.08333333333t + t2 = 0 + -0.3333333333
-0.08333333333t + t2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.08333333333t + t2 = -0.3333333333

The t term is -0.08333333333t.  Take half its coefficient (-0.04166666667).
Square it (0.001736111111) and add it to both sides.

Add '0.001736111111' to each side of the equation.
-0.08333333333t + 0.001736111111 + t2 = -0.3333333333 + 0.001736111111

Reorder the terms:
0.001736111111 + -0.08333333333t + t2 = -0.3333333333 + 0.001736111111

Combine like terms: -0.3333333333 + 0.001736111111 = -0.331597222189
0.001736111111 + -0.08333333333t + t2 = -0.331597222189

Factor a perfect square on the left side:
(t + -0.04166666667)(t + -0.04166666667) = -0.331597222189

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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