b^2-5b+7=7

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Solution for b^2-5b+7=7 equation: 


Simplifying
b2 + -5b + 7 = 7

Reorder the terms:
7 + -5b + b2 = 7

Add '-7' to each side of the equation.
7 + -5b + -7 + b2 = 7 + -7

Reorder the terms:
7 + -7 + -5b + b2 = 7 + -7

Combine like terms: 7 + -7 = 0
0 + -5b + b2 = 7 + -7
-5b + b2 = 7 + -7

Combine like terms: 7 + -7 = 0
-5b + b2 = 0

Solving
-5b + b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-5 + b) = 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 '(-5 + b)' equal to zero and attempt to solve:

Simplifying
-5 + b = 0

Solving
-5 + b = 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 + b = 0 + 5

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

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

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

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