12t(1-7t)=31

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Solution for 12t(1-7t)=31 equation: 


Simplifying
12t(1 + -7t) = 31
(1 * 12t + -7t * 12t) = 31
(12t + -84t2) = 31

Solving
12t + -84t2 = 31

Solving for variable 't'.

Reorder the terms:
-31 + 12t + -84t2 = 31 + -31

Combine like terms: 31 + -31 = 0
-31 + 12t + -84t2 = 0

Begin completing the square.  Divide all terms by
-84 the coefficient of the squared term: 

Divide each side by '-84'.
0.369047619 + -0.1428571429t + t2 = 0

Move the constant term to the right:

Add '-0.369047619' to each side of the equation.
0.369047619 + -0.1428571429t + -0.369047619 + t2 = 0 + -0.369047619

Reorder the terms:
0.369047619 + -0.369047619 + -0.1428571429t + t2 = 0 + -0.369047619

Combine like terms: 0.369047619 + -0.369047619 = 0.000000000
0.000000000 + -0.1428571429t + t2 = 0 + -0.369047619
-0.1428571429t + t2 = 0 + -0.369047619

Combine like terms: 0 + -0.369047619 = -0.369047619
-0.1428571429t + t2 = -0.369047619

The t term is -0.1428571429t.  Take half its coefficient (-0.07142857145).
Square it (0.005102040819) and add it to both sides.

Add '0.005102040819' to each side of the equation.
-0.1428571429t + 0.005102040819 + t2 = -0.369047619 + 0.005102040819

Reorder the terms:
0.005102040819 + -0.1428571429t + t2 = -0.369047619 + 0.005102040819

Combine like terms: -0.369047619 + 0.005102040819 = -0.363945578181
0.005102040819 + -0.1428571429t + t2 = -0.363945578181

Factor a perfect square on the left side:
(t + -0.07142857145)(t + -0.07142857145) = -0.363945578181

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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