0=x^2+4x+12

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Solution for 0=x^2+4x+12 equation:


Simplifying
0 = x2 + 4x + 12

Reorder the terms:
0 = 12 + 4x + x2

Solving
0 = 12 + 4x + x2

Solving for variable 'x'.

Combine like terms: 0 + -12 = -12
-12 + -4x + -1x2 = 12 + 4x + x2 + -12 + -4x + -1x2

Reorder the terms:
-12 + -4x + -1x2 = 12 + -12 + 4x + -4x + x2 + -1x2

Combine like terms: 12 + -12 = 0
-12 + -4x + -1x2 = 0 + 4x + -4x + x2 + -1x2
-12 + -4x + -1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
-12 + -4x + -1x2 = 0 + x2 + -1x2
-12 + -4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + -4x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(12 + 4x + x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(12 + 4x + x2)' equal to zero and attempt to solve: Simplifying 12 + 4x + x2 = 0 Solving 12 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 4x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 4x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4x + x2 = 0 + -12 4x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 4x + x2 = -12 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 = -12 + 4 Reorder the terms: 4 + 4x + x2 = -12 + 4 Combine like terms: -12 + 4 = -8 4 + 4x + x2 = -8 Factor a perfect square on the left side: (x + 2)(x + 2) = -8 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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