30b^2-7b-2=0

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Solution for 30b^2-7b-2=0 equation:


Simplifying
30b2 + -7b + -2 = 0

Reorder the terms:
-2 + -7b + 30b2 = 0

Solving
-2 + -7b + 30b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-1 + -6b)(2 + -5b) = 0

Subproblem 1

Set the factor '(-1 + -6b)' equal to zero and attempt to solve: Simplifying -1 + -6b = 0 Solving -1 + -6b = 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 + -6b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6b = 0 + 1 -6b = 0 + 1 Combine like terms: 0 + 1 = 1 -6b = 1 Divide each side by '-6'. b = -0.1666666667 Simplifying b = -0.1666666667

Subproblem 2

Set the factor '(2 + -5b)' equal to zero and attempt to solve: Simplifying 2 + -5b = 0 Solving 2 + -5b = 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 + -5b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5b = 0 + -2 -5b = 0 + -2 Combine like terms: 0 + -2 = -2 -5b = -2 Divide each side by '-5'. b = 0.4 Simplifying b = 0.4

Solution

b = {-0.1666666667, 0.4}

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