-3x^2-30x-77=0

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Solution for -3x^2-30x-77=0 equation: 


Simplifying
-3x2 + -30x + -77 = 0

Reorder the terms:
-77 + -30x + -3x2 = 0

Solving
-77 + -30x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(77 + 30x + 3x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(77 + 30x + 3x2)' equal to zero and attempt to solve:

Simplifying
77 + 30x + 3x2 = 0

Solving
77 + 30x + 3x2 = 0

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

Divide each side by '3'.
25.66666667 + 10x + x2 = 0

Move the constant term to the right:

Add '-25.66666667' to each side of the equation.
25.66666667 + 10x + -25.66666667 + x2 = 0 + -25.66666667

Reorder the terms:
25.66666667 + -25.66666667 + 10x + x2 = 0 + -25.66666667

Combine like terms: 25.66666667 + -25.66666667 = 0.00000000
0.00000000 + 10x + x2 = 0 + -25.66666667
10x + x2 = 0 + -25.66666667

Combine like terms: 0 + -25.66666667 = -25.66666667
10x + x2 = -25.66666667

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -25.66666667 + 25

Reorder the terms:
25 + 10x + x2 = -25.66666667 + 25

Combine like terms: -25.66666667 + 25 = -0.66666667
25 + 10x + x2 = -0.66666667

Factor a perfect square on the left side:
(x + 5)(x + 5) = -0.66666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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