12.7=1.5t-0.5*9.8*t^2

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Solution for 12.7=1.5t-0.5*9.8*t^2 equation: 


Simplifying
12.7 = 1.5t + -0.5 * 9.8t2

Multiply -0.5 * 9.8
12.7 = 1.5t + -4.9t2

Solving
12.7 = 1.5t + -4.9t2

Solving for variable 't'.

Reorder the terms:
12.7 + -1.5t + 4.9t2 = 1.5t + -1.5t + -4.9t2 + 4.9t2

Combine like terms: 1.5t + -1.5t = 0.0
12.7 + -1.5t + 4.9t2 = 0.0 + -4.9t2 + 4.9t2
12.7 + -1.5t + 4.9t2 = -4.9t2 + 4.9t2

Combine like terms: -4.9t2 + 4.9t2 = 0.0
12.7 + -1.5t + 4.9t2 = 0.0

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

Divide each side by '4.9'.
2.591836735 + -0.306122449t + t2 = 0

Move the constant term to the right:

Add '-2.591836735' to each side of the equation.
2.591836735 + -0.306122449t + -2.591836735 + t2 = 0 + -2.591836735

Reorder the terms:
2.591836735 + -2.591836735 + -0.306122449t + t2 = 0 + -2.591836735

Combine like terms: 2.591836735 + -2.591836735 = 0.000000000
0.000000000 + -0.306122449t + t2 = 0 + -2.591836735
-0.306122449t + t2 = 0 + -2.591836735

Combine like terms: 0 + -2.591836735 = -2.591836735
-0.306122449t + t2 = -2.591836735

The t term is -0.306122449t.  Take half its coefficient (-0.1530612245).
Square it (0.02342773845) and add it to both sides.

Add '0.02342773845' to each side of the equation.
-0.306122449t + 0.02342773845 + t2 = -2.591836735 + 0.02342773845

Reorder the terms:
0.02342773845 + -0.306122449t + t2 = -2.591836735 + 0.02342773845

Combine like terms: -2.591836735 + 0.02342773845 = -2.56840899655
0.02342773845 + -0.306122449t + t2 = -2.56840899655

Factor a perfect square on the left side:
(t + -0.1530612245)(t + -0.1530612245) = -2.56840899655

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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