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Simplifying
4h2 = 2h2 + 32
Reorder the terms:
4h2 = 32 + 2h2
Solving
4h2 = 32 + 2h2
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Add '-2h2' to each side of the equation.
4h2 + -2h2 = 32 + 2h2 + -2h2
Combine like terms: 4h2 + -2h2 = 2h2
2h2 = 32 + 2h2 + -2h2
Combine like terms: 2h2 + -2h2 = 0
2h2 = 32 + 0
2h2 = 32
Divide each side by '2'.
h2 = 16
Simplifying
h2 = 16
Take the square root of each side:
h = {-4, 4}
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