2b^2=7b

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Solution for 2b^2=7b equation:


Simplifying
2b2 = 7b

Solving
2b2 = 7b

Solving for variable 'b'.

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

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

Factor out the Greatest Common Factor (GCF), 'b'.
b(-7 + 2b) = 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 '(-7 + 2b)' equal to zero and attempt to solve: Simplifying -7 + 2b = 0 Solving -7 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2b = 0 + 7 2b = 0 + 7 Combine like terms: 0 + 7 = 7 2b = 7 Divide each side by '2'. b = 3.5 Simplifying b = 3.5

Solution

b = {0, 3.5}

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