mx^3-11x^2+nx+8=p(x)

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Solution for mx^3-11x^2+nx+8=p(x) equation: 


Simplifying
mx3 + -11x2 + nx + 8 = p(x)

Reorder the terms:
8 + mx3 + nx + -11x2 = p(x)

Multiply p * x
8 + mx3 + nx + -11x2 = px

Solving
8 + mx3 + nx + -11x2 = px

Solving for variable 'm'.

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

Add '-8' to each side of the equation.
8 + mx3 + nx + -8 + -11x2 = -8 + px

Reorder the terms:
8 + -8 + mx3 + nx + -11x2 = -8 + px

Combine like terms: 8 + -8 = 0
0 + mx3 + nx + -11x2 = -8 + px
mx3 + nx + -11x2 = -8 + px

Add '-1nx' to each side of the equation.
mx3 + nx + -1nx + -11x2 = -8 + -1nx + px

Combine like terms: nx + -1nx = 0
mx3 + 0 + -11x2 = -8 + -1nx + px
mx3 + -11x2 = -8 + -1nx + px

Add '11x2' to each side of the equation.
mx3 + -11x2 + 11x2 = -8 + -1nx + px + 11x2

Combine like terms: -11x2 + 11x2 = 0
mx3 + 0 = -8 + -1nx + px + 11x2
mx3 = -8 + -1nx + px + 11x2

Divide each side by 'x3'.
m = -8x-3 + -1nx-2 + px-2 + 11x-1

Simplifying
m = -8x-3 + -1nx-2 + px-2 + 11x-1

Reorder the terms:
m = -1nx-2 + px-2 + -8x-3 + 11x-1

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