m(x)=(3x-1)(3-x)+4x^3+19

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Solution for m(x)=(3x-1)(3-x)+4x^3+19 equation: 


Simplifying
m(x) = (3x + -1)(3 + -1x) + 4x3 + 19

Multiply m * x
mx = (3x + -1)(3 + -1x) + 4x3 + 19

Reorder the terms:
mx = (-1 + 3x)(3 + -1x) + 4x3 + 19

Multiply (-1 + 3x) * (3 + -1x)
mx = (-1(3 + -1x) + 3x * (3 + -1x)) + 4x3 + 19
mx = ((3 * -1 + -1x * -1) + 3x * (3 + -1x)) + 4x3 + 19
mx = ((-3 + 1x) + 3x * (3 + -1x)) + 4x3 + 19
mx = (-3 + 1x + (3 * 3x + -1x * 3x)) + 4x3 + 19
mx = (-3 + 1x + (9x + -3x2)) + 4x3 + 19

Combine like terms: 1x + 9x = 10x
mx = (-3 + 10x + -3x2) + 4x3 + 19

Reorder the terms:
mx = -3 + 19 + 10x + -3x2 + 4x3

Combine like terms: -3 + 19 = 16
mx = 16 + 10x + -3x2 + 4x3

Solving
mx = 16 + 10x + -3x2 + 4x3

Solving for variable 'm'.

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

Divide each side by 'x'.
m = 16x-1 + 10 + -3x + 4x2

Simplifying
m = 16x-1 + 10 + -3x + 4x2

Reorder the terms:
m = 10 + 16x-1 + -3x + 4x2

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