40x^2+35x+30=0

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Solution for 40x^2+35x+30=0 equation: 


Simplifying
40x2 + 35x + 30 = 0

Reorder the terms:
30 + 35x + 40x2 = 0

Solving
30 + 35x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(6 + 7x + 8x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(6 + 7x + 8x2)' equal to zero and attempt to solve:

Simplifying
6 + 7x + 8x2 = 0

Solving
6 + 7x + 8x2 = 0

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

Divide each side by '8'.
0.75 + 0.875x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.875x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.875x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.875x + x2 = 0 + -0.75
0.875x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.875x + x2 = -0.75

The x term is 0.875x.  Take half its coefficient (0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
0.875x + 0.19140625 + x2 = -0.75 + 0.19140625

Reorder the terms:
0.19140625 + 0.875x + x2 = -0.75 + 0.19140625

Combine like terms: -0.75 + 0.19140625 = -0.55859375
0.19140625 + 0.875x + x2 = -0.55859375

Factor a perfect square on the left side:
(x + 0.4375)(x + 0.4375) = -0.55859375

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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