(-4.9)X^2+3X=100

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Solution for (-4.9)X^2+3X=100 equation:


Simplifying
(-4.9) * X2 + 3X = 100

Reorder the terms:
3X + -4.9X2 = 100

Solving
3X + -4.9X2 = 100

Solving for variable 'X'.

Reorder the terms:
-100 + 3X + -4.9X2 = 100 + -100

Combine like terms: 100 + -100 = 0
-100 + 3X + -4.9X2 = 0

Begin completing the square.  Divide all terms by
-4.9 the coefficient of the squared term: 

Divide each side by '-4.9'.
20.40816327 + -0.612244898X + X2 = 0

Move the constant term to the right:

Add '-20.40816327' to each side of the equation.
20.40816327 + -0.612244898X + -20.40816327 + X2 = 0 + -20.40816327

Reorder the terms:
20.40816327 + -20.40816327 + -0.612244898X + X2 = 0 + -20.40816327

Combine like terms: 20.40816327 + -20.40816327 = 0.00000000
0.00000000 + -0.612244898X + X2 = 0 + -20.40816327
-0.612244898X + X2 = 0 + -20.40816327

Combine like terms: 0 + -20.40816327 = -20.40816327
-0.612244898X + X2 = -20.40816327

The X term is -0.612244898X.  Take half its coefficient (-0.306122449).
Square it (0.09371095378) and add it to both sides.

Add '0.09371095378' to each side of the equation.
-0.612244898X + 0.09371095378 + X2 = -20.40816327 + 0.09371095378

Reorder the terms:
0.09371095378 + -0.612244898X + X2 = -20.40816327 + 0.09371095378

Combine like terms: -20.40816327 + 0.09371095378 = -20.31445231622
0.09371095378 + -0.612244898X + X2 = -20.31445231622

Factor a perfect square on the left side:
(X + -0.306122449)(X + -0.306122449) = -20.31445231622

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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