-18x^2-48x-50=0

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Solution for -18x^2-48x-50=0 equation: 


Simplifying
-18x2 + -48x + -50 = 0

Reorder the terms:
-50 + -48x + -18x2 = 0

Solving
-50 + -48x + -18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(25 + 24x + 9x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(25 + 24x + 9x2)' equal to zero and attempt to solve:

Simplifying
25 + 24x + 9x2 = 0

Solving
25 + 24x + 9x2 = 0

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

Divide each side by '9'.
2.777777778 + 2.666666667x + x2 = 0

Move the constant term to the right:

Add '-2.777777778' to each side of the equation.
2.777777778 + 2.666666667x + -2.777777778 + x2 = 0 + -2.777777778

Reorder the terms:
2.777777778 + -2.777777778 + 2.666666667x + x2 = 0 + -2.777777778

Combine like terms: 2.777777778 + -2.777777778 = 0.000000000
0.000000000 + 2.666666667x + x2 = 0 + -2.777777778
2.666666667x + x2 = 0 + -2.777777778

Combine like terms: 0 + -2.777777778 = -2.777777778
2.666666667x + x2 = -2.777777778

The x term is 2.666666667x.  Take half its coefficient (1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
2.666666667x + 1.777777780 + x2 = -2.777777778 + 1.777777780

Reorder the terms:
1.777777780 + 2.666666667x + x2 = -2.777777778 + 1.777777780

Combine like terms: -2.777777778 + 1.777777780 = -0.999999998
1.777777780 + 2.666666667x + x2 = -0.999999998

Factor a perfect square on the left side:
(x + 1.333333334)(x + 1.333333334) = -0.999999998

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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