b^2+6b-28=-7+10b

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Solution for b^2+6b-28=-7+10b equation: 


Simplifying
b2 + 6b + -28 = -7 + 10b

Reorder the terms:
-28 + 6b + b2 = -7 + 10b

Solving
-28 + 6b + b2 = -7 + 10b

Solving for variable 'b'.

Reorder the terms:
-28 + 7 + 6b + -10b + b2 = -7 + 10b + 7 + -10b

Combine like terms: -28 + 7 = -21
-21 + 6b + -10b + b2 = -7 + 10b + 7 + -10b

Combine like terms: 6b + -10b = -4b
-21 + -4b + b2 = -7 + 10b + 7 + -10b

Reorder the terms:
-21 + -4b + b2 = -7 + 7 + 10b + -10b

Combine like terms: -7 + 7 = 0
-21 + -4b + b2 = 0 + 10b + -10b
-21 + -4b + b2 = 10b + -10b

Combine like terms: 10b + -10b = 0
-21 + -4b + b2 = 0

Factor a trinomial.
(-3 + -1b)(7 + -1b) = 0


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

Simplifying
-3 + -1b = 0

Solving
-3 + -1b = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1b = 0 + 3
-1b = 0 + 3

Combine like terms: 0 + 3 = 3
-1b = 3

Divide each side by '-1'.
b = -3

Simplifying
b = -3

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
Solution
b = {-3, 7}

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