x^2+45=-12x

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Solution for x^2+45=-12x equation:


Simplifying
x2 + 45 = -12x

Reorder the terms:
45 + x2 = -12x

Solving
45 + x2 = -12x

Solving for variable 'x'.

Reorder the terms:
45 + 12x + x2 = -12x + 12x

Combine like terms: -12x + 12x = 0
45 + 12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-45' to each side of the equation.
45 + 12x + -45 + x2 = 0 + -45

Reorder the terms:
45 + -45 + 12x + x2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + 12x + x2 = 0 + -45
12x + x2 = 0 + -45

Combine like terms: 0 + -45 = -45
12x + x2 = -45

The x term is 12x.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12x + 36 + x2 = -45 + 36

Reorder the terms:
36 + 12x + x2 = -45 + 36

Combine like terms: -45 + 36 = -9
36 + 12x + x2 = -9

Factor a perfect square on the left side:
(x + 6)(x + 6) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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