140.4=-1.9t^2+26t

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Solution for 140.4=-1.9t^2+26t equation: 


Simplifying
140.4 = -1.9t2 + 26t

Reorder the terms:
140.4 = 26t + -1.9t2

Solving
140.4 = 26t + -1.9t2

Solving for variable 't'.

Reorder the terms:
140.4 + -26t + 1.9t2 = 26t + -26t + -1.9t2 + 1.9t2

Combine like terms: 26t + -26t = 0
140.4 + -26t + 1.9t2 = 0 + -1.9t2 + 1.9t2
140.4 + -26t + 1.9t2 = -1.9t2 + 1.9t2

Combine like terms: -1.9t2 + 1.9t2 = 0.0
140.4 + -26t + 1.9t2 = 0.0

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

Divide each side by '1.9'.
73.89473684 + -13.68421053t + t2 = 0

Move the constant term to the right:

Add '-73.89473684' to each side of the equation.
73.89473684 + -13.68421053t + -73.89473684 + t2 = 0 + -73.89473684

Reorder the terms:
73.89473684 + -73.89473684 + -13.68421053t + t2 = 0 + -73.89473684

Combine like terms: 73.89473684 + -73.89473684 = 0.00000000
0.00000000 + -13.68421053t + t2 = 0 + -73.89473684
-13.68421053t + t2 = 0 + -73.89473684

Combine like terms: 0 + -73.89473684 = -73.89473684
-13.68421053t + t2 = -73.89473684

The t term is -13.68421053t.  Take half its coefficient (-6.842105265).
Square it (46.81440446) and add it to both sides.

Add '46.81440446' to each side of the equation.
-13.68421053t + 46.81440446 + t2 = -73.89473684 + 46.81440446

Reorder the terms:
46.81440446 + -13.68421053t + t2 = -73.89473684 + 46.81440446

Combine like terms: -73.89473684 + 46.81440446 = -27.08033238
46.81440446 + -13.68421053t + t2 = -27.08033238

Factor a perfect square on the left side:
(t + -6.842105265)(t + -6.842105265) = -27.08033238

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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