7x(3x+6)=-22

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Solution for 7x(3x+6)=-22 equation:


Simplifying
7x(3x + 6) = -22

Reorder the terms:
7x(6 + 3x) = -22
(6 * 7x + 3x * 7x) = -22
(42x + 21x2) = -22

Solving
42x + 21x2 = -22

Solving for variable 'x'.

Reorder the terms:
22 + 42x + 21x2 = -22 + 22

Combine like terms: -22 + 22 = 0
22 + 42x + 21x2 = 0

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

Divide each side by '21'.
1.047619048 + 2x + x2 = 0

Move the constant term to the right:

Add '-1.047619048' to each side of the equation.
1.047619048 + 2x + -1.047619048 + x2 = 0 + -1.047619048

Reorder the terms:
1.047619048 + -1.047619048 + 2x + x2 = 0 + -1.047619048

Combine like terms: 1.047619048 + -1.047619048 = 0.000000000
0.000000000 + 2x + x2 = 0 + -1.047619048
2x + x2 = 0 + -1.047619048

Combine like terms: 0 + -1.047619048 = -1.047619048
2x + x2 = -1.047619048

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -1.047619048 + 1

Reorder the terms:
1 + 2x + x2 = -1.047619048 + 1

Combine like terms: -1.047619048 + 1 = -0.047619048
1 + 2x + x2 = -0.047619048

Factor a perfect square on the left side:
(x + 1)(x + 1) = -0.047619048

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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