150=48t-5t^2

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Solution for 150=48t-5t^2 equation:


Simplifying
150 = 48t + -5t2

Solving
150 = 48t + -5t2

Solving for variable 't'.

Reorder the terms:
150 + -48t + 5t2 = 48t + -48t + -5t2 + 5t2

Combine like terms: 48t + -48t = 0
150 + -48t + 5t2 = 0 + -5t2 + 5t2
150 + -48t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
150 + -48t + 5t2 = 0

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

Divide each side by '5'.
30 + -9.6t + t2 = 0

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + -9.6t + -30 + t2 = 0 + -30

Reorder the terms:
30 + -30 + -9.6t + t2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -9.6t + t2 = 0 + -30
-9.6t + t2 = 0 + -30

Combine like terms: 0 + -30 = -30
-9.6t + t2 = -30

The t term is -9.6t.  Take half its coefficient (-4.8).
Square it (23.04) and add it to both sides.

Add '23.04' to each side of the equation.
-9.6t + 23.04 + t2 = -30 + 23.04

Reorder the terms:
23.04 + -9.6t + t2 = -30 + 23.04

Combine like terms: -30 + 23.04 = -6.96
23.04 + -9.6t + t2 = -6.96

Factor a perfect square on the left side:
(t + -4.8)(t + -4.8) = -6.96

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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