14b^2=2b

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Solution for 14b^2=2b equation:


Simplifying
14b2 = 2b

Solving
14b2 = 2b

Solving for variable 'b'.

Reorder the terms:
-2b + 14b2 = 2b + -2b

Combine like terms: 2b + -2b = 0
-2b + 14b2 = 0

Factor out the Greatest Common Factor (GCF), '2b'.
2b(-1 + 7b) = 0

Ignore the factor 2.

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 '(-1 + 7b)' equal to zero and attempt to solve: Simplifying -1 + 7b = 0 Solving -1 + 7b = 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 + 7b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7b = 0 + 1 7b = 0 + 1 Combine like terms: 0 + 1 = 1 7b = 1 Divide each side by '7'. b = 0.1428571429 Simplifying b = 0.1428571429

Solution

b = {0, 0.1428571429}

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