2x^2+12x+36=7

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Solution for 2x^2+12x+36=7 equation:


Simplifying
2x2 + 12x + 36 = 7

Reorder the terms:
36 + 12x + 2x2 = 7

Solving
36 + 12x + 2x2 = 7

Solving for variable 'x'.

Reorder the terms:
36 + -7 + 12x + 2x2 = 7 + -7

Combine like terms: 36 + -7 = 29
29 + 12x + 2x2 = 7 + -7

Combine like terms: 7 + -7 = 0
29 + 12x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
14.5 + 6x + x2 = 0

Move the constant term to the right:

Add '-14.5' to each side of the equation.
14.5 + 6x + -14.5 + x2 = 0 + -14.5

Reorder the terms:
14.5 + -14.5 + 6x + x2 = 0 + -14.5

Combine like terms: 14.5 + -14.5 = 0.0
0.0 + 6x + x2 = 0 + -14.5
6x + x2 = 0 + -14.5

Combine like terms: 0 + -14.5 = -14.5
6x + x2 = -14.5

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -14.5 + 9

Reorder the terms:
9 + 6x + x2 = -14.5 + 9

Combine like terms: -14.5 + 9 = -5.5
9 + 6x + x2 = -5.5

Factor a perfect square on the left side:
(x + 3)(x + 3) = -5.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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