2x^2+2x+14=0

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


Simplifying
2x2 + 2x + 14 = 0

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

Solving
14 + 2x + 2x2 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

Subproblem 1

Set the factor '(7 + x + x2)' equal to zero and attempt to solve: Simplifying 7 + x + x2 = 0 Solving 7 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x + x2 = 0 + -7 x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 x + x2 = -7 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -7 + 0.25 Reorder the terms: 0.25 + x + x2 = -7 + 0.25 Combine like terms: -7 + 0.25 = -6.75 0.25 + x + x2 = -6.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -6.75 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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