-9t^2+t=15-4t^2

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Solution for -9t^2+t=15-4t^2 equation:


Simplifying
-9t2 + t = 15 + -4t2

Reorder the terms:
t + -9t2 = 15 + -4t2

Solving
t + -9t2 = 15 + -4t2

Solving for variable 't'.

Reorder the terms:
-15 + t + -9t2 + 4t2 = 15 + -4t2 + -15 + 4t2

Combine like terms: -9t2 + 4t2 = -5t2
-15 + t + -5t2 = 15 + -4t2 + -15 + 4t2

Reorder the terms:
-15 + t + -5t2 = 15 + -15 + -4t2 + 4t2

Combine like terms: 15 + -15 = 0
-15 + t + -5t2 = 0 + -4t2 + 4t2
-15 + t + -5t2 = -4t2 + 4t2

Combine like terms: -4t2 + 4t2 = 0
-15 + t + -5t2 = 0

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

Divide each side by '-5'.
3 + -0.2t + t2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -0.2t + -3 + t2 = 0 + -3

Reorder the terms:
3 + -3 + -0.2t + t2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -0.2t + t2 = 0 + -3
-0.2t + t2 = 0 + -3

Combine like terms: 0 + -3 = -3
-0.2t + t2 = -3

The t term is t.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.2t + 0.25 + t2 = -3 + 0.25

Reorder the terms:
0.25 + -0.2t + t2 = -3 + 0.25

Combine like terms: -3 + 0.25 = -2.75
0.25 + -0.2t + t2 = -2.75

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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