140=-16t^2+70t+5

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Solution for 140=-16t^2+70t+5 equation: 


Simplifying
140 = -16t2 + 70t + 5

Reorder the terms:
140 = 5 + 70t + -16t2

Solving
140 = 5 + 70t + -16t2

Solving for variable 't'.

Combine like terms: 140 + -5 = 135
135 + -70t + 16t2 = 5 + 70t + -16t2 + -5 + -70t + 16t2

Reorder the terms:
135 + -70t + 16t2 = 5 + -5 + 70t + -70t + -16t2 + 16t2

Combine like terms: 5 + -5 = 0
135 + -70t + 16t2 = 0 + 70t + -70t + -16t2 + 16t2
135 + -70t + 16t2 = 70t + -70t + -16t2 + 16t2

Combine like terms: 70t + -70t = 0
135 + -70t + 16t2 = 0 + -16t2 + 16t2
135 + -70t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
135 + -70t + 16t2 = 0

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

Divide each side by '16'.
8.4375 + -4.375t + t2 = 0

Move the constant term to the right:

Add '-8.4375' to each side of the equation.
8.4375 + -4.375t + -8.4375 + t2 = 0 + -8.4375

Reorder the terms:
8.4375 + -8.4375 + -4.375t + t2 = 0 + -8.4375

Combine like terms: 8.4375 + -8.4375 = 0.0000
0.0000 + -4.375t + t2 = 0 + -8.4375
-4.375t + t2 = 0 + -8.4375

Combine like terms: 0 + -8.4375 = -8.4375
-4.375t + t2 = -8.4375

The t term is -4.375t.  Take half its coefficient (-2.1875).
Square it (4.78515625) and add it to both sides.

Add '4.78515625' to each side of the equation.
-4.375t + 4.78515625 + t2 = -8.4375 + 4.78515625

Reorder the terms:
4.78515625 + -4.375t + t2 = -8.4375 + 4.78515625

Combine like terms: -8.4375 + 4.78515625 = -3.65234375
4.78515625 + -4.375t + t2 = -3.65234375

Factor a perfect square on the left side:
(t + -2.1875)(t + -2.1875) = -3.65234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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