-20x^2-35x-18=0

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Solution for -20x^2-35x-18=0 equation: 


Simplifying
-20x2 + -35x + -18 = 0

Reorder the terms:
-18 + -35x + -20x2 = 0

Solving
-18 + -35x + -20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(18 + 35x + 20x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(18 + 35x + 20x2)' equal to zero and attempt to solve:

Simplifying
18 + 35x + 20x2 = 0

Solving
18 + 35x + 20x2 = 0

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

Divide each side by '20'.
0.9 + 1.75x + x2 = 0.0

Move the constant term to the right:

Add '-0.9' to each side of the equation.
0.9 + 1.75x + -0.9 + x2 = 0.0 + -0.9

Reorder the terms:
0.9 + -0.9 + 1.75x + x2 = 0.0 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 1.75x + x2 = 0.0 + -0.9
1.75x + x2 = 0.0 + -0.9

Combine like terms: 0.0 + -0.9 = -0.9
1.75x + x2 = -0.9

The x term is 1.75x.  Take half its coefficient (0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
1.75x + 0.765625 + x2 = -0.9 + 0.765625

Reorder the terms:
0.765625 + 1.75x + x2 = -0.9 + 0.765625

Combine like terms: -0.9 + 0.765625 = -0.134375
0.765625 + 1.75x + x2 = -0.134375

Factor a perfect square on the left side:
(x + 0.875)(x + 0.875) = -0.134375

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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