ax^3-bx^2+3x-12x=-1

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Solution for ax^3-bx^2+3x-12x=-1 equation:


Simplifying
ax3 + -1bx2 + 3x + -12x = -1

Combine like terms: 3x + -12x = -9x
ax3 + -1bx2 + -9x = -1

Solving
ax3 + -1bx2 + -9x = -1

Solving for variable 'a'.

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

Add 'bx2' to each side of the equation.
ax3 + -1bx2 + bx2 + -9x = -1 + bx2

Combine like terms: -1bx2 + bx2 = 0
ax3 + 0 + -9x = -1 + bx2
ax3 + -9x = -1 + bx2

Add '9x' to each side of the equation.
ax3 + -9x + 9x = -1 + bx2 + 9x

Combine like terms: -9x + 9x = 0
ax3 + 0 = -1 + bx2 + 9x
ax3 = -1 + bx2 + 9x

Divide each side by 'x3'.
a = -1x-3 + bx-1 + 9x-2

Simplifying
a = -1x-3 + bx-1 + 9x-2

Reorder the terms:
a = bx-1 + -1x-3 + 9x-2

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