7t^2-5t+6=4

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Solution for 7t^2-5t+6=4 equation:


Simplifying
7t2 + -5t + 6 = 4

Reorder the terms:
6 + -5t + 7t2 = 4

Solving
6 + -5t + 7t2 = 4

Solving for variable 't'.

Reorder the terms:
6 + -4 + -5t + 7t2 = 4 + -4

Combine like terms: 6 + -4 = 2
2 + -5t + 7t2 = 4 + -4

Combine like terms: 4 + -4 = 0
2 + -5t + 7t2 = 0

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

Divide each side by '7'.
0.2857142857 + -0.7142857143t + t2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + -0.7142857143t + -0.2857142857 + t2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + -0.7142857143t + t2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + -0.7142857143t + t2 = 0 + -0.2857142857
-0.7142857143t + t2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
-0.7142857143t + t2 = -0.2857142857

The t term is -0.7142857143t.  Take half its coefficient (-0.3571428572).
Square it (0.1275510204) and add it to both sides.

Add '0.1275510204' to each side of the equation.
-0.7142857143t + 0.1275510204 + t2 = -0.2857142857 + 0.1275510204

Reorder the terms:
0.1275510204 + -0.7142857143t + t2 = -0.2857142857 + 0.1275510204

Combine like terms: -0.2857142857 + 0.1275510204 = -0.1581632653
0.1275510204 + -0.7142857143t + t2 = -0.1581632653

Factor a perfect square on the left side:
(t + -0.3571428572)(t + -0.3571428572) = -0.1581632653

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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