b(b-6)=7

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Solution for b(b-6)=7 equation:


Simplifying
b(b + -6) = 7

Reorder the terms:
b(-6 + b) = 7
(-6 * b + b * b) = 7
(-6b + b2) = 7

Solving
-6b + b2 = 7

Solving for variable 'b'.

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

Combine like terms: 7 + -7 = 0
-7 + -6b + b2 = 0

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

Subproblem 1

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

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 = {-1, 7}

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