h^2+49=h^2+4h+16

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Solution for h^2+49=h^2+4h+16 equation: 


Simplifying
h2 + 49 = h2 + 4h + 16

Reorder the terms:
49 + h2 = h2 + 4h + 16

Reorder the terms:
49 + h2 = 16 + 4h + h2

Add '-1h2' to each side of the equation.
49 + h2 + -1h2 = 16 + 4h + h2 + -1h2

Combine like terms: h2 + -1h2 = 0
49 + 0 = 16 + 4h + h2 + -1h2
49 = 16 + 4h + h2 + -1h2

Combine like terms: h2 + -1h2 = 0
49 = 16 + 4h + 0
49 = 16 + 4h

Solving
49 = 16 + 4h

Solving for variable 'h'.

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

Add '-4h' to each side of the equation.
49 + -4h = 16 + 4h + -4h

Combine like terms: 4h + -4h = 0
49 + -4h = 16 + 0
49 + -4h = 16

Add '-49' to each side of the equation.
49 + -49 + -4h = 16 + -49

Combine like terms: 49 + -49 = 0
0 + -4h = 16 + -49
-4h = 16 + -49

Combine like terms: 16 + -49 = -33
-4h = -33

Divide each side by '-4'.
h = 8.25

Simplifying
h = 8.25

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