-40x^2-30x-135=0

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Solution for -40x^2-30x-135=0 equation: 


Simplifying
-40x2 + -30x + -135 = 0

Reorder the terms:
-135 + -30x + -40x2 = 0

Solving
-135 + -30x + -40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-5'.
-5(27 + 6x + 8x2) = 0

Ignore the factor -5.

Subproblem 1
Set the factor '(27 + 6x + 8x2)' equal to zero and attempt to solve:

Simplifying
27 + 6x + 8x2 = 0

Solving
27 + 6x + 8x2 = 0

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

Divide each side by '8'.
3.375 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-3.375' to each side of the equation.
3.375 + 0.75x + -3.375 + x2 = 0 + -3.375

Reorder the terms:
3.375 + -3.375 + 0.75x + x2 = 0 + -3.375

Combine like terms: 3.375 + -3.375 = 0.000
0.000 + 0.75x + x2 = 0 + -3.375
0.75x + x2 = 0 + -3.375

Combine like terms: 0 + -3.375 = -3.375
0.75x + x2 = -3.375

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = -3.375 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -3.375 + 0.140625

Combine like terms: -3.375 + 0.140625 = -3.234375
0.140625 + 0.75x + x2 = -3.234375

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -3.234375

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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