-4x-16=x^2

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Solution for -4x-16=x^2 equation:


Simplifying
-4x + -16 = x2

Reorder the terms:
-16 + -4x = x2

Solving
-16 + -4x = x2

Solving for variable 'x'.

Combine like terms: x2 + -1x2 = 0
-16 + -4x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(16 + 4x + x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(16 + 4x + x2)' equal to zero and attempt to solve: Simplifying 16 + 4x + x2 = 0 Solving 16 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + 4x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + 4x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4x + x2 = 0 + -16 4x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 4x + x2 = -16 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -16 + 4 Reorder the terms: 4 + 4x + x2 = -16 + 4 Combine like terms: -16 + 4 = -12 4 + 4x + x2 = -12 Factor a perfect square on the left side: (x + 2)(x + 2) = -12 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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