5b(2b-7)=0

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Solution for 5b(2b-7)=0 equation: 


Simplifying
5b(2b + -7) = 0

Reorder the terms:
5b(-7 + 2b) = 0
(-7 * 5b + 2b * 5b) = 0
(-35b + 10b2) = 0

Solving
-35b + 10b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5b'.
5b(-7 + 2b) = 0

Ignore the factor 5.

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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