28b^2-2b-6=0

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Solution for 28b^2-2b-6=0 equation:


Simplifying
28b2 + -2b + -6 = 0

Reorder the terms:
-6 + -2b + 28b2 = 0

Solving
-6 + -2b + 28b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -1b + 14b2) = 0

Factor a trinomial.
2((-3 + -7b)(1 + -2b)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -7b)' equal to zero and attempt to solve: Simplifying -3 + -7b = 0 Solving -3 + -7b = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7b = 0 + 3 -7b = 0 + 3 Combine like terms: 0 + 3 = 3 -7b = 3 Divide each side by '-7'. b = -0.4285714286 Simplifying b = -0.4285714286

Subproblem 2

Set the factor '(1 + -2b)' equal to zero and attempt to solve: Simplifying 1 + -2b = 0 Solving 1 + -2b = 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 + -2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2b = 0 + -1 -2b = 0 + -1 Combine like terms: 0 + -1 = -1 -2b = -1 Divide each side by '-2'. b = 0.5 Simplifying b = 0.5

Solution

b = {-0.4285714286, 0.5}

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