608400+16000000+2x^2+8000x=0

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Solution for 608400+16000000+2x^2+8000x=0 equation:


Simplifying
608400 + 16000000 + 2x2 + 8000x = 0

Reorder the terms:
608400 + 16000000 + 8000x + 2x2 = 0

Combine like terms: 608400 + 16000000 = 16608400
16608400 + 8000x + 2x2 = 0

Solving
16608400 + 8000x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8304200 + 4000x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(8304200 + 4000x + x2)' equal to zero and attempt to solve: Simplifying 8304200 + 4000x + x2 = 0 Solving 8304200 + 4000x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-8304200' to each side of the equation. 8304200 + 4000x + -8304200 + x2 = 0 + -8304200 Reorder the terms: 8304200 + -8304200 + 4000x + x2 = 0 + -8304200 Combine like terms: 8304200 + -8304200 = 0 0 + 4000x + x2 = 0 + -8304200 4000x + x2 = 0 + -8304200 Combine like terms: 0 + -8304200 = -8304200 4000x + x2 = -8304200 The x term is 4000x. Take half its coefficient (2000). Square it (4000000) and add it to both sides. Add '4000000' to each side of the equation. 4000x + 4000000 + x2 = -8304200 + 4000000 Reorder the terms: 4000000 + 4000x + x2 = -8304200 + 4000000 Combine like terms: -8304200 + 4000000 = -4304200 4000000 + 4000x + x2 = -4304200 Factor a perfect square on the left side: (x + 2000)(x + 2000) = -4304200 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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