-4.9*t^2+10t+-12=0

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Solution for -4.9*t^2+10t+-12=0 equation:


Simplifying
-4.9t2 + 10t + -12 = 0

Reorder the terms:
-12 + 10t + -4.9t2 = 0

Solving
-12 + 10t + -4.9t2 = 0

Solving for variable 't'.

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

Divide each side by '-4.9'.
2.448979592 + -2.040816327t + t2 = 0

Move the constant term to the right:

Add '-2.448979592' to each side of the equation.
2.448979592 + -2.040816327t + -2.448979592 + t2 = 0 + -2.448979592

Reorder the terms:
2.448979592 + -2.448979592 + -2.040816327t + t2 = 0 + -2.448979592

Combine like terms: 2.448979592 + -2.448979592 = 0.000000000
0.000000000 + -2.040816327t + t2 = 0 + -2.448979592
-2.040816327t + t2 = 0 + -2.448979592

Combine like terms: 0 + -2.448979592 = -2.448979592
-2.040816327t + t2 = -2.448979592

The t term is -2.040816327t.  Take half its coefficient (-1.020408164).
Square it (1.041232821) and add it to both sides.

Add '1.041232821' to each side of the equation.
-2.040816327t + 1.041232821 + t2 = -2.448979592 + 1.041232821

Reorder the terms:
1.041232821 + -2.040816327t + t2 = -2.448979592 + 1.041232821

Combine like terms: -2.448979592 + 1.041232821 = -1.407746771
1.041232821 + -2.040816327t + t2 = -1.407746771

Factor a perfect square on the left side:
(t + -1.020408164)(t + -1.020408164) = -1.407746771

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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