6x+(6x-9)+3x(6x)=-80

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Solution for 6x+(6x-9)+3x(6x)=-80 equation:


Simplifying
6x + (6x + -9) + 3x(6x) = -80

Reorder the terms:
6x + (-9 + 6x) + 3x(6x) = -80

Remove parenthesis around (-9 + 6x)
6x + -9 + 6x + 3x(6x) = -80

Remove parenthesis around (6x)
6x + -9 + 6x + 3x * 6x = -80

Reorder the terms for easier multiplication:
6x + -9 + 6x + 3 * 6x * x = -80

Multiply 3 * 6
6x + -9 + 6x + 18x * x = -80

Multiply x * x
6x + -9 + 6x + 18x2 = -80

Reorder the terms:
-9 + 6x + 6x + 18x2 = -80

Combine like terms: 6x + 6x = 12x
-9 + 12x + 18x2 = -80

Solving
-9 + 12x + 18x2 = -80

Solving for variable 'x'.

Reorder the terms:
-9 + 80 + 12x + 18x2 = -80 + 80

Combine like terms: -9 + 80 = 71
71 + 12x + 18x2 = -80 + 80

Combine like terms: -80 + 80 = 0
71 + 12x + 18x2 = 0

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

Divide each side by '18'.
3.944444444 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-3.944444444' to each side of the equation.
3.944444444 + 0.6666666667x + -3.944444444 + x2 = 0 + -3.944444444

Reorder the terms:
3.944444444 + -3.944444444 + 0.6666666667x + x2 = 0 + -3.944444444

Combine like terms: 3.944444444 + -3.944444444 = 0.000000000
0.000000000 + 0.6666666667x + x2 = 0 + -3.944444444
0.6666666667x + x2 = 0 + -3.944444444

Combine like terms: 0 + -3.944444444 = -3.944444444
0.6666666667x + x2 = -3.944444444

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -3.944444444 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -3.944444444 + 0.1111111112

Combine like terms: -3.944444444 + 0.1111111112 = -3.8333333328
0.1111111112 + 0.6666666667x + x2 = -3.8333333328

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -3.8333333328

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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