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

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


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

Reorder the terms:
2b(-5 + b)(b + 7) = 0

Reorder the terms:
2b(-5 + b)(7 + b) = 0

Multiply (-5 + b) * (7 + b)
2b(-5(7 + b) + b(7 + b)) = 0
2b((7 * -5 + b * -5) + b(7 + b)) = 0
2b((-35 + -5b) + b(7 + b)) = 0
2b(-35 + -5b + (7 * b + b * b)) = 0
2b(-35 + -5b + (7b + b2)) = 0

Combine like terms: -5b + 7b = 2b
2b(-35 + 2b + b2) = 0
(-35 * 2b + 2b * 2b + b2 * 2b) = 0
(-70b + 4b2 + 2b3) = 0

Solving
-70b + 4b2 + 2b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b'.
2b(-35 + 2b + b2) = 0

Factor a trinomial.
2b((-7 + -1b)(5 + -1b)) = 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 '(-7 + -1b)' equal to zero and attempt to solve:

Simplifying
-7 + -1b = 0

Solving
-7 + -1b = 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 + -1b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1b = 0 + 7
-1b = 0 + 7

Combine like terms: 0 + 7 = 7
-1b = 7

Divide each side by '-1'.
b = -7

Simplifying
b = -7

Subproblem 3
Set the factor '(5 + -1b)' equal to zero and attempt to solve:

Simplifying
5 + -1b = 0

Solving
5 + -1b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1b = 0 + -5
-1b = 0 + -5

Combine like terms: 0 + -5 = -5
-1b = -5

Divide each side by '-1'.
b = 5

Simplifying
b = 5
Solution
b = {0, -7, 5}

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