12b^3x+10b^4x^6=2b^3x

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Solution for 12b^3x+10b^4x^6=2b^3x equation:


Simplifying
12b3x + 10b4x6 = 2b3x

Solving
12b3x + 10b4x6 = 2b3x

Solving for variable 'b'.

Reorder the terms:
12b3x + -2b3x + 10b4x6 = 2b3x + -2b3x

Combine like terms: 12b3x + -2b3x = 10b3x
10b3x + 10b4x6 = 2b3x + -2b3x

Combine like terms: 2b3x + -2b3x = 0
10b3x + 10b4x6 = 0

Factor out the Greatest Common Factor (GCF), '10b3x'.
10b3x(1 + bx5) = 0

Ignore the factor 10.

Subproblem 1

Set the factor 'b3x' equal to zero and attempt to solve: Simplifying b3x = 0 Solving b3x = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b3x = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + bx5)' equal to zero and attempt to solve: Simplifying 1 + bx5 = 0 Solving 1 + bx5 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + bx5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + bx5 = 0 + -1 bx5 = 0 + -1 Combine like terms: 0 + -1 = -1 bx5 = -1 Divide each side by 'x5'. b = -1x-5 Simplifying b = -1x-5

Solution

b = {-1x-5}

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