16x^2+40x+30=0

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Solution for 16x^2+40x+30=0 equation: 


Simplifying
16x2 + 40x + 30 = 0

Reorder the terms:
30 + 40x + 16x2 = 0

Solving
30 + 40x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 20x + 8x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(15 + 20x + 8x2)' equal to zero and attempt to solve:

Simplifying
15 + 20x + 8x2 = 0

Solving
15 + 20x + 8x2 = 0

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

Divide each side by '8'.
1.875 + 2.5x + x2 = 0

Move the constant term to the right:

Add '-1.875' to each side of the equation.
1.875 + 2.5x + -1.875 + x2 = 0 + -1.875

Reorder the terms:
1.875 + -1.875 + 2.5x + x2 = 0 + -1.875

Combine like terms: 1.875 + -1.875 = 0.000
0.000 + 2.5x + x2 = 0 + -1.875
2.5x + x2 = 0 + -1.875

Combine like terms: 0 + -1.875 = -1.875
2.5x + x2 = -1.875

The x term is 2.5x.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5x + 1.5625 + x2 = -1.875 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = -1.875 + 1.5625

Combine like terms: -1.875 + 1.5625 = -0.3125
1.5625 + 2.5x + x2 = -0.3125

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = -0.3125

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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