-4h(5h-4)=2(10h+8)

Solution for -4h(5h-4)=2(10h+8) equation:

Simplifying
-4h(5h + -4) = 2(10h + 8)

Reorder the terms:
-4h(-4 + 5h) = 2(10h + 8)
(-4 * -4h + 5h * -4h) = 2(10h + 8)
(16h + -20h2) = 2(10h + 8)

Reorder the terms:
16h + -20h2 = 2(8 + 10h)
16h + -20h2 = (8 * 2 + 10h * 2)
16h + -20h2 = (16 + 20h)

Solving
16h + -20h2 = 16 + 20h

Solving for variable 'h'.

Reorder the terms:
-16 + 16h + -20h + -20h2 = 16 + 20h + -16 + -20h

Combine like terms: 16h + -20h = -4h
-16 + -4h + -20h2 = 16 + 20h + -16 + -20h

Reorder the terms:
-16 + -4h + -20h2 = 16 + -16 + 20h + -20h

Combine like terms: 16 + -16 = 0
-16 + -4h + -20h2 = 0 + 20h + -20h
-16 + -4h + -20h2 = 20h + -20h

Combine like terms: 20h + -20h = 0
-16 + -4h + -20h2 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(4 + h + 5h2) = 0

Ignore the factor -4.
Subproblem 1
Set the factor '(4 + h + 5h2)' equal to zero and attempt to solve:

Simplifying
4 + h + 5h2 = 0

Solving
4 + h + 5h2 = 0

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

Divide each side by '5'.
0.8 + 0.2h + h2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + 0.2h + -0.8 + h2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + 0.2h + h2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.2h + h2 = 0 + -0.8
0.2h + h2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
0.2h + h2 = -0.8

The h term is h.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.2h + 0.25 + h2 = -0.8 + 0.25

Reorder the terms:
0.25 + 0.2h + h2 = -0.8 + 0.25

Combine like terms: -0.8 + 0.25 = -0.55
0.25 + 0.2h + h2 = -0.55

Factor a perfect square on the left side:
(h + 0.5)(h + 0.5) = -0.55

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.