0=5+3*X+0.5*4.905*X^2

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Solution for 0=5+3*X+0.5*4.905*X^2 equation: 


Simplifying
0 = 5 + 3X + 0.5 * 4.905X2

Multiply 0.5 * 4.905
0 = 5 + 3X + 2.4525X2

Solving
0 = 5 + 3X + 2.4525X2

Solving for variable 'X'.

Combine like terms: 0 + -5 = -5
-5 + -3X + -2.4525X2 = 5 + 3X + 2.4525X2 + -5 + -3X + -2.4525X2

Reorder the terms:
-5 + -3X + -2.4525X2 = 5 + -5 + 3X + -3X + 2.4525X2 + -2.4525X2

Combine like terms: 5 + -5 = 0
-5 + -3X + -2.4525X2 = 0 + 3X + -3X + 2.4525X2 + -2.4525X2
-5 + -3X + -2.4525X2 = 3X + -3X + 2.4525X2 + -2.4525X2

Combine like terms: 3X + -3X = 0
-5 + -3X + -2.4525X2 = 0 + 2.4525X2 + -2.4525X2
-5 + -3X + -2.4525X2 = 2.4525X2 + -2.4525X2

Combine like terms: 2.4525X2 + -2.4525X2 = 0.0000
-5 + -3X + -2.4525X2 = 0.0000

Begin completing the square.  Divide all terms by
-2.4525 the coefficient of the squared term: 

Divide each side by '-2.4525'.
2.038735984 + 1.22324159X + X2 = 0

Move the constant term to the right:

Add '-2.038735984' to each side of the equation.
2.038735984 + 1.22324159X + -2.038735984 + X2 = 0 + -2.038735984

Reorder the terms:
2.038735984 + -2.038735984 + 1.22324159X + X2 = 0 + -2.038735984

Combine like terms: 2.038735984 + -2.038735984 = 0.000000000
0.000000000 + 1.22324159X + X2 = 0 + -2.038735984
1.22324159X + X2 = 0 + -2.038735984

Combine like terms: 0 + -2.038735984 = -2.038735984
1.22324159X + X2 = -2.038735984

The X term is 1.22324159X.  Take half its coefficient (0.611620795).
Square it (0.3740799969) and add it to both sides.

Add '0.3740799969' to each side of the equation.
1.22324159X + 0.3740799969 + X2 = -2.038735984 + 0.3740799969

Reorder the terms:
0.3740799969 + 1.22324159X + X2 = -2.038735984 + 0.3740799969

Combine like terms: -2.038735984 + 0.3740799969 = -1.6646559871
0.3740799969 + 1.22324159X + X2 = -1.6646559871

Factor a perfect square on the left side:
(X + 0.611620795)(X + 0.611620795) = -1.6646559871

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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