6b^6+6b^5+6b^4=

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Solution for 6b^6+6b^5+6b^4= equation:


Simplifying
6b6 + 6b5 + 6b4 = 0

Reorder the terms:
6b4 + 6b5 + 6b6 = 0

Solving
6b4 + 6b5 + 6b6 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '6b4'.
6b4(1 + b + b2) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'b4' equal to zero and attempt to solve: Simplifying b4 = 0 Solving b4 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b4 = 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 + b + b2)' equal to zero and attempt to solve: Simplifying 1 + b + b2 = 0 Solving 1 + b + b2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + b + -1 + b2 = 0 + -1 Reorder the terms: 1 + -1 + b + b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b + b2 = 0 + -1 b + b2 = 0 + -1 Combine like terms: 0 + -1 = -1 b + b2 = -1 The b term is b. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. b + 0.25 + b2 = -1 + 0.25 Reorder the terms: 0.25 + b + b2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + b + b2 = -0.75 Factor a perfect square on the left side: (b + 0.5)(b + 0.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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