40(5)=-16t^2+40t+5

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Solution for 40(5)=-16t^2+40t+5 equation: 


Simplifying
40(5) = -16t2 + 40t + 5

Multiply 40 * 5
200 = -16t2 + 40t + 5

Reorder the terms:
200 = 5 + 40t + -16t2

Solving
200 = 5 + 40t + -16t2

Solving for variable 't'.

Combine like terms: 200 + -5 = 195
195 + -40t + 16t2 = 5 + 40t + -16t2 + -5 + -40t + 16t2

Reorder the terms:
195 + -40t + 16t2 = 5 + -5 + 40t + -40t + -16t2 + 16t2

Combine like terms: 5 + -5 = 0
195 + -40t + 16t2 = 0 + 40t + -40t + -16t2 + 16t2
195 + -40t + 16t2 = 40t + -40t + -16t2 + 16t2

Combine like terms: 40t + -40t = 0
195 + -40t + 16t2 = 0 + -16t2 + 16t2
195 + -40t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
195 + -40t + 16t2 = 0

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

Divide each side by '16'.
12.1875 + -2.5t + t2 = 0

Move the constant term to the right:

Add '-12.1875' to each side of the equation.
12.1875 + -2.5t + -12.1875 + t2 = 0 + -12.1875

Reorder the terms:
12.1875 + -12.1875 + -2.5t + t2 = 0 + -12.1875

Combine like terms: 12.1875 + -12.1875 = 0.0000
0.0000 + -2.5t + t2 = 0 + -12.1875
-2.5t + t2 = 0 + -12.1875

Combine like terms: 0 + -12.1875 = -12.1875
-2.5t + t2 = -12.1875

The t term is -2.5t.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5t + 1.5625 + t2 = -12.1875 + 1.5625

Reorder the terms:
1.5625 + -2.5t + t2 = -12.1875 + 1.5625

Combine like terms: -12.1875 + 1.5625 = -10.625
1.5625 + -2.5t + t2 = -10.625

Factor a perfect square on the left side:
(t + -1.25)(t + -1.25) = -10.625

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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