63=b^2-2b

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Solution for 63=b^2-2b equation:


Simplifying
63 = b2 + -2b

Reorder the terms:
63 = -2b + b2

Solving
63 = -2b + b2

Solving for variable 'b'.

Reorder the terms:
63 + 2b + -1b2 = -2b + 2b + b2 + -1b2

Combine like terms: -2b + 2b = 0
63 + 2b + -1b2 = 0 + b2 + -1b2
63 + 2b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
63 + 2b + -1b2 = 0

Factor a trinomial.
(9 + -1b)(7 + b) = 0

Subproblem 1

Set the factor '(9 + -1b)' equal to zero and attempt to solve: Simplifying 9 + -1b = 0 Solving 9 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1b = 0 + -9 -1b = 0 + -9 Combine like terms: 0 + -9 = -9 -1b = -9 Divide each side by '-1'. b = 9 Simplifying b = 9

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

Solution

b = {9, -7}

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