-9.8t^2+45t+1=63.4

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Solution for -9.8t^2+45t+1=63.4 equation: 


Simplifying
-9.8t2 + 45t + 1 = 63.4

Reorder the terms:
1 + 45t + -9.8t2 = 63.4

Solving
1 + 45t + -9.8t2 = 63.4

Solving for variable 't'.

Reorder the terms:
1 + -63.4 + 45t + -9.8t2 = 63.4 + -63.4

Combine like terms: 1 + -63.4 = -62.4
-62.4 + 45t + -9.8t2 = 63.4 + -63.4

Combine like terms: 63.4 + -63.4 = 0.0
-62.4 + 45t + -9.8t2 = 0.0

Begin completing the square.  Divide all terms by
-9.8 the coefficient of the squared term: 

Divide each side by '-9.8'.
6.367346939 + -4.591836735t + t2 = 0

Move the constant term to the right:

Add '-6.367346939' to each side of the equation.
6.367346939 + -4.591836735t + -6.367346939 + t2 = 0 + -6.367346939

Reorder the terms:
6.367346939 + -6.367346939 + -4.591836735t + t2 = 0 + -6.367346939

Combine like terms: 6.367346939 + -6.367346939 = 0.000000000
0.000000000 + -4.591836735t + t2 = 0 + -6.367346939
-4.591836735t + t2 = 0 + -6.367346939

Combine like terms: 0 + -6.367346939 = -6.367346939
-4.591836735t + t2 = -6.367346939

The t term is -4.591836735t.  Take half its coefficient (-2.295918368).
Square it (5.271241153) and add it to both sides.

Add '5.271241153' to each side of the equation.
-4.591836735t + 5.271241153 + t2 = -6.367346939 + 5.271241153

Reorder the terms:
5.271241153 + -4.591836735t + t2 = -6.367346939 + 5.271241153

Combine like terms: -6.367346939 + 5.271241153 = -1.096105786
5.271241153 + -4.591836735t + t2 = -1.096105786

Factor a perfect square on the left side:
(t + -2.295918368)(t + -2.295918368) = -1.096105786

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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