2(3h+2)4h=-16

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Solution for 2(3h+2)4h=-16 equation: 


Simplifying
2(3h + 2) * 4h = -16

Reorder the terms:
2(2 + 3h) * 4h = -16

Reorder the terms for easier multiplication:
2 * 4h(2 + 3h) = -16

Multiply 2 * 4
8h(2 + 3h) = -16
(2 * 8h + 3h * 8h) = -16
(16h + 24h2) = -16

Solving
16h + 24h2 = -16

Solving for variable 'h'.

Reorder the terms:
16 + 16h + 24h2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + 16h + 24h2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(2 + 2h + 3h2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(2 + 2h + 3h2)' equal to zero and attempt to solve:

Simplifying
2 + 2h + 3h2 = 0

Solving
2 + 2h + 3h2 = 0

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

Divide each side by '3'.
0.6666666667 + 0.6666666667h + h2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 0.6666666667h + -0.6666666667 + h2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 0.6666666667h + h2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 0.6666666667h + h2 = 0 + -0.6666666667
0.6666666667h + h2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
0.6666666667h + h2 = -0.6666666667

The h term is 0.6666666667h.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667h + 0.1111111112 + h2 = -0.6666666667 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667h + h2 = -0.6666666667 + 0.1111111112

Combine like terms: -0.6666666667 + 0.1111111112 = -0.5555555555
0.1111111112 + 0.6666666667h + h2 = -0.5555555555

Factor a perfect square on the left side:
(h + 0.3333333334)(h + 0.3333333334) = -0.5555555555

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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