(30b^3-5b^2+2b)=0

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Solution for (30b^3-5b^2+2b)=0 equation:


Simplifying
(30b3 + -5b2 + 2b) = 0

Reorder the terms:
(2b + -5b2 + 30b3) = 0

Remove parenthesis around (2b + -5b2 + 30b3)
2b + -5b2 + 30b3 = 0

Solving
2b + -5b2 + 30b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(2 + -5b + 30b2) = 0

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0

Subproblem 2

Set the factor '(2 + -5b + 30b2)' equal to zero and attempt to solve: Simplifying 2 + -5b + 30b2 = 0 Solving 2 + -5b + 30b2 = 0 Begin completing the square. Divide all terms by 30 the coefficient of the squared term: Divide each side by '30'. 0.06666666667 + -0.1666666667b + b2 = 0 Move the constant term to the right: Add '-0.06666666667' to each side of the equation. 0.06666666667 + -0.1666666667b + -0.06666666667 + b2 = 0 + -0.06666666667 Reorder the terms: 0.06666666667 + -0.06666666667 + -0.1666666667b + b2 = 0 + -0.06666666667 Combine like terms: 0.06666666667 + -0.06666666667 = 0.00000000000 0.00000000000 + -0.1666666667b + b2 = 0 + -0.06666666667 -0.1666666667b + b2 = 0 + -0.06666666667 Combine like terms: 0 + -0.06666666667 = -0.06666666667 -0.1666666667b + b2 = -0.06666666667 The b term is -0.1666666667b. Take half its coefficient (-0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. -0.1666666667b + 0.006944444447 + b2 = -0.06666666667 + 0.006944444447 Reorder the terms: 0.006944444447 + -0.1666666667b + b2 = -0.06666666667 + 0.006944444447 Combine like terms: -0.06666666667 + 0.006944444447 = -0.059722222223 0.006944444447 + -0.1666666667b + b2 = -0.059722222223 Factor a perfect square on the left side: (b + -0.08333333335)(b + -0.08333333335) = -0.059722222223 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.

Solution

b = {0}

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