0=3h^2-16h+16

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Solution for 0=3h^2-16h+16 equation: 


Simplifying
0 = 3h2 + -16h + 16

Reorder the terms:
0 = 16 + -16h + 3h2

Solving
0 = 16 + -16h + 3h2

Solving for variable 'h'.

Combine like terms: 0 + -16 = -16
-16 + 16h + -3h2 = 16 + -16h + 3h2 + -16 + 16h + -3h2

Reorder the terms:
-16 + 16h + -3h2 = 16 + -16 + -16h + 16h + 3h2 + -3h2

Combine like terms: 16 + -16 = 0
-16 + 16h + -3h2 = 0 + -16h + 16h + 3h2 + -3h2
-16 + 16h + -3h2 = -16h + 16h + 3h2 + -3h2

Combine like terms: -16h + 16h = 0
-16 + 16h + -3h2 = 0 + 3h2 + -3h2
-16 + 16h + -3h2 = 3h2 + -3h2

Combine like terms: 3h2 + -3h2 = 0
-16 + 16h + -3h2 = 0

Factor a trinomial.
(-4 + h)(4 + -3h) = 0


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

Simplifying
-4 + h = 0

Solving
-4 + h = 0

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

Add '4' to each side of the equation.
-4 + 4 + h = 0 + 4

Combine like terms: -4 + 4 = 0
0 + h = 0 + 4
h = 0 + 4

Combine like terms: 0 + 4 = 4
h = 4

Simplifying
h = 4

Subproblem 2
Set the factor '(4 + -3h)' equal to zero and attempt to solve:

Simplifying
4 + -3h = 0

Solving
4 + -3h = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3h = 0 + -4
-3h = 0 + -4

Combine like terms: 0 + -4 = -4
-3h = -4

Divide each side by '-3'.
h = 1.333333333

Simplifying
h = 1.333333333
Solution
h = {4, 1.333333333}

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