(5h+4)*(5h+4)=16

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Solution for (5h+4)*(5h+4)=16 equation: 


Simplifying
(5h + 4)(5h + 4) = 16

Reorder the terms:
(4 + 5h)(5h + 4) = 16

Reorder the terms:
(4 + 5h)(4 + 5h) = 16

Multiply (4 + 5h) * (4 + 5h)
(4(4 + 5h) + 5h * (4 + 5h)) = 16
((4 * 4 + 5h * 4) + 5h * (4 + 5h)) = 16
((16 + 20h) + 5h * (4 + 5h)) = 16
(16 + 20h + (4 * 5h + 5h * 5h)) = 16
(16 + 20h + (20h + 25h2)) = 16

Combine like terms: 20h + 20h = 40h
(16 + 40h + 25h2) = 16

Add '-16' to each side of the equation.
16 + 40h + -16 + 25h2 = 16 + -16

Reorder the terms:
16 + -16 + 40h + 25h2 = 16 + -16

Combine like terms: 16 + -16 = 0
0 + 40h + 25h2 = 16 + -16
40h + 25h2 = 16 + -16

Combine like terms: 16 + -16 = 0
40h + 25h2 = 0

Solving
40h + 25h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '5h'.
5h(8 + 5h) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

Move all terms containing h to the left, all other terms to the right.

Simplifying
h = 0

Subproblem 2
Set the factor '(8 + 5h)' equal to zero and attempt to solve:

Simplifying
8 + 5h = 0

Solving
8 + 5h = 0

Move all terms containing h to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + 5h = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5h = 0 + -8
5h = 0 + -8

Combine like terms: 0 + -8 = -8
5h = -8

Divide each side by '5'.
h = -1.6

Simplifying
h = -1.6
Solution
h = {0, -1.6}

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