ax^3+bx^2+cx=7

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Solution for ax^3+bx^2+cx=7 equation:


Simplifying
ax3 + bx2 + cx = 7

Solving
ax3 + bx2 + cx = 7

Solving for variable 'a'.

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

Add '-1bx2' to each side of the equation.
ax3 + bx2 + -1bx2 + cx = 7 + -1bx2

Combine like terms: bx2 + -1bx2 = 0
ax3 + 0 + cx = 7 + -1bx2
ax3 + cx = 7 + -1bx2

Add '-1cx' to each side of the equation.
ax3 + cx + -1cx = 7 + -1bx2 + -1cx

Combine like terms: cx + -1cx = 0
ax3 + 0 = 7 + -1bx2 + -1cx
ax3 = 7 + -1bx2 + -1cx

Divide each side by 'x3'.
a = 7x-3 + -1bx-1 + -1cx-2

Simplifying
a = 7x-3 + -1bx-1 + -1cx-2

Reorder the terms:
a = -1bx-1 + -1cx-2 + 7x-3

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