2b^4+8b^3+8b^2=

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Solution for 2b^4+8b^3+8b^2= equation:


Simplifying
2b4 + 8b3 + 8b2 = 0

Reorder the terms:
8b2 + 8b3 + 2b4 = 0

Solving
8b2 + 8b3 + 2b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b2'.
2b2(4 + 4b + b2) = 0

Factor a trinomial.
2b2((2 + b)(2 + b)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}

Subproblem 2

Set the factor '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2

Subproblem 3

Set the factor '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2

Solution

b = {0, -2, -2}

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