7b^2=2b

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Solution for 7b^2=2b equation:


Simplifying
7b2 = 2b

Solving
7b2 = 2b

Solving for variable 'b'.

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

Combine like terms: 2b + -2b = 0
-2b + 7b2 = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(-2 + 7b) = 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 + 7b)' equal to zero and attempt to solve: Simplifying -2 + 7b = 0 Solving -2 + 7b = 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 + 7b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7b = 0 + 2 7b = 0 + 2 Combine like terms: 0 + 2 = 2 7b = 2 Divide each side by '7'. b = 0.2857142857 Simplifying b = 0.2857142857

Solution

b = {0, 0.2857142857}

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