3f^2+f(f+8)=8f+f^2+81

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Solution for 3f^2+f(f+8)=8f+f^2+81 equation: 


Simplifying
3f2 + f(f + 8) = 8f + f2 + 81

Reorder the terms:
3f2 + f(8 + f) = 8f + f2 + 81
3f2 + (8 * f + f * f) = 8f + f2 + 81
3f2 + (8f + f2) = 8f + f2 + 81

Reorder the terms:
8f + 3f2 + f2 = 8f + f2 + 81

Combine like terms: 3f2 + f2 = 4f2
8f + 4f2 = 8f + f2 + 81

Reorder the terms:
8f + 4f2 = 81 + 8f + f2

Add '-8f' to each side of the equation.
8f + -8f + 4f2 = 81 + 8f + -8f + f2

Combine like terms: 8f + -8f = 0
0 + 4f2 = 81 + 8f + -8f + f2
4f2 = 81 + 8f + -8f + f2

Combine like terms: 8f + -8f = 0
4f2 = 81 + 0 + f2
4f2 = 81 + f2

Solving
4f2 = 81 + f2

Solving for variable 'f'.

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

Add '-1f2' to each side of the equation.
4f2 + -1f2 = 81 + f2 + -1f2

Combine like terms: 4f2 + -1f2 = 3f2
3f2 = 81 + f2 + -1f2

Combine like terms: f2 + -1f2 = 0
3f2 = 81 + 0
3f2 = 81

Divide each side by '3'.
f2 = 27

Simplifying
f2 = 27

Take the square root of each side:
f = {-5.196152423, 5.196152423}

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