10(t)=4.9t^2+3.5t+10

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Solution for 10(t)=4.9t^2+3.5t+10 equation: 


Simplifying
10(t) = 4.9t2 + 3.5t + 10

Reorder the terms:
10t = 10 + 3.5t + 4.9t2

Solving
10t = 10 + 3.5t + 4.9t2

Solving for variable 't'.

Reorder the terms:
-10 + 10t + -3.5t + -4.9t2 = 10 + 3.5t + 4.9t2 + -10 + -3.5t + -4.9t2

Combine like terms: 10t + -3.5t = 6.5t
-10 + 6.5t + -4.9t2 = 10 + 3.5t + 4.9t2 + -10 + -3.5t + -4.9t2

Reorder the terms:
-10 + 6.5t + -4.9t2 = 10 + -10 + 3.5t + -3.5t + 4.9t2 + -4.9t2

Combine like terms: 10 + -10 = 0
-10 + 6.5t + -4.9t2 = 0 + 3.5t + -3.5t + 4.9t2 + -4.9t2
-10 + 6.5t + -4.9t2 = 3.5t + -3.5t + 4.9t2 + -4.9t2

Combine like terms: 3.5t + -3.5t = 0.0
-10 + 6.5t + -4.9t2 = 0.0 + 4.9t2 + -4.9t2
-10 + 6.5t + -4.9t2 = 4.9t2 + -4.9t2

Combine like terms: 4.9t2 + -4.9t2 = 0.0
-10 + 6.5t + -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'.
2.040816327 + -1.326530612t + t2 = 0

Move the constant term to the right:

Add '-2.040816327' to each side of the equation.
2.040816327 + -1.326530612t + -2.040816327 + t2 = 0 + -2.040816327

Reorder the terms:
2.040816327 + -2.040816327 + -1.326530612t + t2 = 0 + -2.040816327

Combine like terms: 2.040816327 + -2.040816327 = 0.000000000
0.000000000 + -1.326530612t + t2 = 0 + -2.040816327
-1.326530612t + t2 = 0 + -2.040816327

Combine like terms: 0 + -2.040816327 = -2.040816327
-1.326530612t + t2 = -2.040816327

The t term is -1.326530612t.  Take half its coefficient (-0.663265306).
Square it (0.4399208661) and add it to both sides.

Add '0.4399208661' to each side of the equation.
-1.326530612t + 0.4399208661 + t2 = -2.040816327 + 0.4399208661

Reorder the terms:
0.4399208661 + -1.326530612t + t2 = -2.040816327 + 0.4399208661

Combine like terms: -2.040816327 + 0.4399208661 = -1.6008954609
0.4399208661 + -1.326530612t + t2 = -1.6008954609

Factor a perfect square on the left side:
(t + -0.663265306)(t + -0.663265306) = -1.6008954609

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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