(0.5x^4)+(x^3)+1=(0.5x^4)+(x^3)+(x^2)-mx+1

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Solution for (0.5x^4)+(x^3)+1=(0.5x^4)+(x^3)+(x^2)-mx+1 equation: 


Simplifying
(0.5x4) + (x3) + 1 = (0.5x4) + (x3) + (x2) + -1mx + 1
(0.5x4) + x3 + 1 = (0.5x4) + (x3) + (x2) + -1mx + 1

Reorder the terms:
1 + x3 + (0.5x4) = (0.5x4) + (x3) + (x2) + -1mx + 1
1 + x3 + (0.5x4) = (0.5x4) + x3 + (x2) + -1mx + 1
1 + x3 + (0.5x4) = (0.5x4) + x3 + x2 + -1mx + 1

Reorder the terms:
1 + x3 + (0.5x4) = 1 + -1mx + x2 + x3 + (0.5x4)

Add '-1' to each side of the equation.
1 + x3 + -1 + (0.5x4) = 1 + -1mx + x2 + x3 + -1 + (0.5x4)

Reorder the terms:
1 + -1 + x3 + (0.5x4) = 1 + -1mx + x2 + x3 + -1 + (0.5x4)

Combine like terms: 1 + -1 = 0
0 + x3 + (0.5x4) = 1 + -1mx + x2 + x3 + -1 + (0.5x4)
x3 + (0.5x4) = 1 + -1mx + x2 + x3 + -1 + (0.5x4)

Reorder the terms:
x3 + (0.5x4) = 1 + -1 + -1mx + x2 + x3 + (0.5x4)

Combine like terms: 1 + -1 = 0
x3 + (0.5x4) = 0 + -1mx + x2 + x3 + (0.5x4)
x3 + (0.5x4) = -1mx + x2 + x3 + (0.5x4)

Add '-1x3' to each side of the equation.
x3 + -1x3 + (0.5x4) = -1mx + x2 + x3 + -1x3 + (0.5x4)

Combine like terms: x3 + -1x3 = 0
0 + (0.5x4) = -1mx + x2 + x3 + -1x3 + (0.5x4)
(0.5x4) = -1mx + x2 + x3 + -1x3 + (0.5x4)

Combine like terms: x3 + -1x3 = 0
(0.5x4) = -1mx + x2 + 0 + (0.5x4)
(0.5x4) = -1mx + x2 + (0.5x4)

Add '(-0.5x4)' to each side of the equation.
(0.5x4) + (-0.5x4) = -1mx + x2 + (0.5x4) + (-0.5x4)

Combine like terms: (0.5x4) + (-0.5x4) = 0.0
0.0 = -1mx + x2 + (0.5x4) + (-0.5x4)

Combine like terms: (0.5x4) + (-0.5x4) = 0.0
0.0 = -1mx + x2 + 0.0
0.0 = -1mx + x2

Solving
0.0 = -1mx + x2

Solving for variable 'm'.

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

Add 'mx' to each side of the equation.
0.0 + mx = -1mx + mx + x2
Remove the zero:
mx = -1mx + mx + x2

Combine like terms: -1mx + mx = 0
mx = 0 + x2
mx = x2

Divide each side by 'x'.
m = x

Simplifying
m = x

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