a=b*(1+c*x+d*x*x+e*x*x*x*(x-100))

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Solution for a=b*(1+c*x+d*x*x+e*x*x*x*(x-100)) equation: 


Simplifying
a = b(1 + c * x + d * x * x + e * x * x * x(x + -100))

Multiply c * x
a = b(1 + cx + d * x * x + e * x * x * x(x + -100))

Multiply d * x
a = b(1 + cx + dx * x + e * x * x * x(x + -100))

Multiply dx * x
a = b(1 + cx + dx2 + e * x * x * x(x + -100))

Reorder the terms:
a = b(1 + cx + dx2 + e * x * x * x(-100 + x))

Multiply e * x
a = b(1 + cx + dx2 + ex * x * x(-100 + x))

Multiply ex * x
a = b(1 + cx + dx2 + ex2 * x(-100 + x))

Multiply ex2 * x
a = b(1 + cx + dx2 + ex3(-100 + x))
a = b(1 + cx + dx2 + (-100 * ex3 + x * ex3))
a = b(1 + cx + dx2 + (-100ex3 + ex4))
a = (1 * b + cx * b + dx2 * b + -100ex3 * b + ex4 * b)
a = (1b + bcx + bdx2 + -100bex3 + bex4)

Solving
a = 1b + bcx + bdx2 + -100bex3 + bex4

Solving for variable 'a'.

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

Simplifying
a = 1b + bcx + bdx2 + -100bex3 + bex4

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