m(x)=(3x-1)(3-x)+4x^2+9

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Solution for m(x)=(3x-1)(3-x)+4x^2+9 equation: 


Simplifying
m(x) = (3x + -1)(3 + -1x) + 4x2 + 9

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

Reorder the terms:
mx = (-1 + 3x)(3 + -1x) + 4x2 + 9

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

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

Reorder the terms:
mx = -3 + 9 + 10x + -3x2 + 4x2

Combine like terms: -3 + 9 = 6
mx = 6 + 10x + -3x2 + 4x2

Combine like terms: -3x2 + 4x2 = 1x2
mx = 6 + 10x + 1x2

Solving
mx = 6 + 10x + 1x2

Solving for variable 'm'.

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

Divide each side by 'x'.
m = 6x-1 + 10 + x

Simplifying
m = 6x-1 + 10 + x

Reorder the terms:
m = 10 + 6x-1 + x

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