-x-x^2=14

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Solution for -x-x^2=14 equation:


Simplifying
-1x + -1x2 = 14

Solving
-1x + -1x2 = 14

Solving for variable 'x'.

Reorder the terms:
-14 + -1x + -1x2 = 14 + -14

Combine like terms: 14 + -14 = 0
-14 + -1x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(14 + x + x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(14 + x + x2)' equal to zero and attempt to solve: Simplifying 14 + x + x2 = 0 Solving 14 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x + x2 = 0 + -14 x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 x + x2 = -14 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 = -14 + 0.25 Reorder the terms: 0.25 + x + x2 = -14 + 0.25 Combine like terms: -14 + 0.25 = -13.75 0.25 + x + x2 = -13.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -13.75 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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