f(x)=4x^7+4x^6-77x^5-53x^4+331x^3+301x^2-78x-72

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Solution for f(x)=4x^7+4x^6-77x^5-53x^4+331x^3+301x^2-78x-72 equation:


Simplifying
f(x) = 4x7 + 4x6 + -77x5 + -53x4 + 331x3 + 301x2 + -78x + -72

Multiply f * x
fx = 4x7 + 4x6 + -77x5 + -53x4 + 331x3 + 301x2 + -78x + -72

Reorder the terms:
fx = -72 + -78x + 301x2 + 331x3 + -53x4 + -77x5 + 4x6 + 4x7

Solving
fx = -72 + -78x + 301x2 + 331x3 + -53x4 + -77x5 + 4x6 + 4x7

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -72x-1 + -78 + 301x + 331x2 + -53x3 + -77x4 + 4x5 + 4x6

Simplifying
f = -72x-1 + -78 + 301x + 331x2 + -53x3 + -77x4 + 4x5 + 4x6

Reorder the terms:
f = -78 + -72x-1 + 301x + 331x2 + -53x3 + -77x4 + 4x5 + 4x6

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