x^2+12=-3x

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Solution for x^2+12=-3x equation:


Simplifying
x2 + 12 = -3x

Reorder the terms:
12 + x2 = -3x

Solving
12 + x2 = -3x

Solving for variable 'x'.

Reorder the terms:
12 + 3x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 3x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + 3x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 3x + x2 = 0 + -12
3x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
3x + x2 = -12

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -12 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -12 + 2.25

Combine like terms: -12 + 2.25 = -9.75
2.25 + 3x + x2 = -9.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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