10x^2+12x+4904=0

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Solution for 10x^2+12x+4904=0 equation: 


Simplifying
10x2 + 12x + 4904 = 0

Reorder the terms:
4904 + 12x + 10x2 = 0

Solving
4904 + 12x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2452 + 6x + 5x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2452 + 6x + 5x2)' equal to zero and attempt to solve:

Simplifying
2452 + 6x + 5x2 = 0

Solving
2452 + 6x + 5x2 = 0

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

Divide each side by '5'.
490.4 + 1.2x + x2 = 0

Move the constant term to the right:

Add '-490.4' to each side of the equation.
490.4 + 1.2x + -490.4 + x2 = 0 + -490.4

Reorder the terms:
490.4 + -490.4 + 1.2x + x2 = 0 + -490.4

Combine like terms: 490.4 + -490.4 = 0.0
0.0 + 1.2x + x2 = 0 + -490.4
1.2x + x2 = 0 + -490.4

Combine like terms: 0 + -490.4 = -490.4
1.2x + x2 = -490.4

The x term is 1.2x.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2x + 0.36 + x2 = -490.4 + 0.36

Reorder the terms:
0.36 + 1.2x + x2 = -490.4 + 0.36

Combine like terms: -490.4 + 0.36 = -490.04
0.36 + 1.2x + x2 = -490.04

Factor a perfect square on the left side:
(x + 0.6)(x + 0.6) = -490.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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