3t(t)17=t-3

Solution for 3t(t)17=t-3 equation:

Simplifying
3t(t) * 17 = t + -3

Reorder the terms for easier multiplication:
3 * 17t * t = t + -3

Multiply 3 * 17
51t * t = t + -3

Multiply t * t
51t2 = t + -3

Reorder the terms:
51t2 = -3 + t

Solving
51t2 = -3 + t

Solving for variable 't'.

Reorder the terms:
3 + -1t + 51t2 = -3 + t + 3 + -1t

Reorder the terms:
3 + -1t + 51t2 = -3 + 3 + t + -1t

Combine like terms: -3 + 3 = 0
3 + -1t + 51t2 = 0 + t + -1t
3 + -1t + 51t2 = t + -1t

Combine like terms: t + -1t = 0
3 + -1t + 51t2 = 0

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

Divide each side by '51'.
0.05882352941 + -0.01960784314t + t2 = 0

Move the constant term to the right:

Add '-0.05882352941' to each side of the equation.
0.05882352941 + -0.01960784314t + -0.05882352941 + t2 = 0 + -0.05882352941

Reorder the terms:
0.05882352941 + -0.05882352941 + -0.01960784314t + t2 = 0 + -0.05882352941

Combine like terms: 0.05882352941 + -0.05882352941 = 0.00000000000
0.00000000000 + -0.01960784314t + t2 = 0 + -0.05882352941
-0.01960784314t + t2 = 0 + -0.05882352941

Combine like terms: 0 + -0.05882352941 = -0.05882352941
-0.01960784314t + t2 = -0.05882352941

The t term is -0.01960784314t.  Take half its coefficient (-0.00980392157).
Square it (0.00009611687815) and add it to both sides.

Add '0.00009611687815' to each side of the equation.
-0.01960784314t + 0.00009611687815 + t2 = -0.05882352941 + 0.00009611687815

Reorder the terms:
0.00009611687815 + -0.01960784314t + t2 = -0.05882352941 + 0.00009611687815

Combine like terms: -0.05882352941 + 0.00009611687815 = -0.05872741253185
0.00009611687815 + -0.01960784314t + t2 = -0.05872741253185

Factor a perfect square on the left side:
(t + -0.00980392157)(t + -0.00980392157) = -0.05872741253185

Can't calculate square root of the right side.

The solution to this equation could not be determined.