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

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


Simplifying
7b2(7 + b)(7 + -1b) = 0

Multiply (7 + b) * (7 + -1b)
7b2(7(7 + -1b) + b(7 + -1b)) = 0
7b2((7 * 7 + -1b * 7) + b(7 + -1b)) = 0
7b2((49 + -7b) + b(7 + -1b)) = 0
7b2(49 + -7b + (7 * b + -1b * b)) = 0
7b2(49 + -7b + (7b + -1b2)) = 0

Combine like terms: -7b + 7b = 0
7b2(49 + 0 + -1b2) = 0
7b2(49 + -1b2) = 0
(49 * 7b2 + -1b2 * 7b2) = 0
(343b2 + -7b4) = 0

Solving
343b2 + -7b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '7b2'.
7b2(49 + -1b2) = 0

Factor a difference between two squares.
7b2((7 + b)(7 + -1b)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve:

Simplifying
b2 = 0

Solving
b2 = 0

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

Simplifying
b2 = 0

Take the square root of each side:
b = {0}

Subproblem 2
Set the factor '(7 + b)' equal to zero and attempt to solve:

Simplifying
7 + b = 0

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

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

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

Simplifying
b = -7

Subproblem 3
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
Solution
b = {0, -7, 7}

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