4x^5+ax^3+bx^2+l=0

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Solution for 4x^5+ax^3+bx^2+l=0 equation:


Simplifying
4x5 + ax3 + bx2 + l = 0

Reorder the terms:
ax3 + bx2 + l + 4x5 = 0

Solving
ax3 + bx2 + l + 4x5 = 0

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 + l + -1bx2 + 4x5 = 0 + -1bx2

Reorder the terms:
ax3 + bx2 + -1bx2 + l + 4x5 = 0 + -1bx2

Combine like terms: bx2 + -1bx2 = 0
ax3 + 0 + l + 4x5 = 0 + -1bx2
ax3 + l + 4x5 = 0 + -1bx2
Remove the zero:
ax3 + l + 4x5 = -1bx2

Add '-1l' to each side of the equation.
ax3 + l + -1l + 4x5 = -1bx2 + -1l

Combine like terms: l + -1l = 0
ax3 + 0 + 4x5 = -1bx2 + -1l
ax3 + 4x5 = -1bx2 + -1l

Add '-4x5' to each side of the equation.
ax3 + 4x5 + -4x5 = -1bx2 + -1l + -4x5

Combine like terms: 4x5 + -4x5 = 0
ax3 + 0 = -1bx2 + -1l + -4x5
ax3 = -1bx2 + -1l + -4x5

Divide each side by 'x3'.
a = -1bx-1 + -1lx-3 + -4x2

Simplifying
a = -1bx-1 + -1lx-3 + -4x2

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