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Simplifying
12h2 + -46 + 42 = 0
Reorder the terms:
-46 + 42 + 12h2 = 0
Combine like terms: -46 + 42 = -4
-4 + 12h2 = 0
Solving
-4 + 12h2 = 0
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 12h2 = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 12h2 = 0 + 4
12h2 = 0 + 4
Combine like terms: 0 + 4 = 4
12h2 = 4
Divide each side by '12'.
h2 = 0.3333333333
Simplifying
h2 = 0.3333333333
Take the square root of each side:
h = {-0.577350269, 0.577350269}
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