150=-16t^2+60t+5

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Solution for 150=-16t^2+60t+5 equation:


Simplifying
150 = -16t2 + 60t + 5

Reorder the terms:
150 = 5 + 60t + -16t2

Solving
150 = 5 + 60t + -16t2

Solving for variable 't'.

Combine like terms: 150 + -5 = 145
145 + -60t + 16t2 = 5 + 60t + -16t2 + -5 + -60t + 16t2

Reorder the terms:
145 + -60t + 16t2 = 5 + -5 + 60t + -60t + -16t2 + 16t2

Combine like terms: 5 + -5 = 0
145 + -60t + 16t2 = 0 + 60t + -60t + -16t2 + 16t2
145 + -60t + 16t2 = 60t + -60t + -16t2 + 16t2

Combine like terms: 60t + -60t = 0
145 + -60t + 16t2 = 0 + -16t2 + 16t2
145 + -60t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
145 + -60t + 16t2 = 0

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

Divide each side by '16'.
9.0625 + -3.75t + t2 = 0

Move the constant term to the right:

Add '-9.0625' to each side of the equation.
9.0625 + -3.75t + -9.0625 + t2 = 0 + -9.0625

Reorder the terms:
9.0625 + -9.0625 + -3.75t + t2 = 0 + -9.0625

Combine like terms: 9.0625 + -9.0625 = 0.0000
0.0000 + -3.75t + t2 = 0 + -9.0625
-3.75t + t2 = 0 + -9.0625

Combine like terms: 0 + -9.0625 = -9.0625
-3.75t + t2 = -9.0625

The t term is -3.75t.  Take half its coefficient (-1.875).
Square it (3.515625) and add it to both sides.

Add '3.515625' to each side of the equation.
-3.75t + 3.515625 + t2 = -9.0625 + 3.515625

Reorder the terms:
3.515625 + -3.75t + t2 = -9.0625 + 3.515625

Combine like terms: -9.0625 + 3.515625 = -5.546875
3.515625 + -3.75t + t2 = -5.546875

Factor a perfect square on the left side:
(t + -1.875)(t + -1.875) = -5.546875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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