2x^2+14x+218=0

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Solution for 2x^2+14x+218=0 equation:


Simplifying
2x2 + 14x + 218 = 0

Reorder the terms:
218 + 14x + 2x2 = 0

Solving
218 + 14x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(109 + 7x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(109 + 7x + x2)' equal to zero and attempt to solve: Simplifying 109 + 7x + x2 = 0 Solving 109 + 7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-109' to each side of the equation. 109 + 7x + -109 + x2 = 0 + -109 Reorder the terms: 109 + -109 + 7x + x2 = 0 + -109 Combine like terms: 109 + -109 = 0 0 + 7x + x2 = 0 + -109 7x + x2 = 0 + -109 Combine like terms: 0 + -109 = -109 7x + x2 = -109 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = -109 + 12.25 Reorder the terms: 12.25 + 7x + x2 = -109 + 12.25 Combine like terms: -109 + 12.25 = -96.75 12.25 + 7x + x2 = -96.75 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = -96.75 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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