x^3+ax+bx-10=0

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Solution for x^3+ax+bx-10=0 equation:


Simplifying
x3 + ax + bx + -10 = 0

Reorder the terms:
-10 + ax + bx + x3 = 0

Solving
-10 + ax + bx + x3 = 0

Solving for variable 'a'.

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

Add '10' to each side of the equation.
-10 + ax + bx + 10 + x3 = 0 + 10

Reorder the terms:
-10 + 10 + ax + bx + x3 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + ax + bx + x3 = 0 + 10
ax + bx + x3 = 0 + 10

Combine like terms: 0 + 10 = 10
ax + bx + x3 = 10

Add '-1bx' to each side of the equation.
ax + bx + -1bx + x3 = 10 + -1bx

Combine like terms: bx + -1bx = 0
ax + 0 + x3 = 10 + -1bx
ax + x3 = 10 + -1bx

Add '-1x3' to each side of the equation.
ax + x3 + -1x3 = 10 + -1bx + -1x3

Combine like terms: x3 + -1x3 = 0
ax + 0 = 10 + -1bx + -1x3
ax = 10 + -1bx + -1x3

Divide each side by 'x'.
a = 10x-1 + -1b + -1x2

Simplifying
a = 10x-1 + -1b + -1x2

Reorder the terms:
a = -1b + 10x-1 + -1x2

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