(b+4)(b+4)=100

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Solution for (b+4)(b+4)=100 equation:


Simplifying
(b + 4)(b + 4) = 100
Reorder the terms:
(4 + b)(b + 4) = 100
Reorder the terms:
(4 + b)(4 + b) = 100
Multiply (4 + b) * (4 + b)
(4(4 + b) + b(4 + b)) = 100
((4 * 4 + b * 4) + b(4 + b)) = 100
((16 + 4b) + b(4 + b)) = 100
(16 + 4b + (4 * b + b * b)) = 100
(16 + 4b + (4b + b2)) = 100
Combine like terms: 4b + 4b = 8b
(16 + 8b + b2) = 100
Solving
16 + 8b + b2 = 100
Solving for variable 'b'.
Reorder the terms:
16 + -100 + 8b + b2 = 100 + -100
Combine like terms: 16 + -100 = -84
-84 + 8b + b2 = 100 + -100
Combine like terms: 100 + -100 = 0
-84 + 8b + b2 = 0
Factor a trinomial.
(-14 + -1b)(6 + -1b) = 0

Subproblem 1

Set the factor '(-14 + -1b)' equal to zero and attempt to solve: Simplifying -14 + -1b = 0 Solving -14 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1b = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1b = 0 + 14 -1b = 0 + 14 Combine like terms: 0 + 14 = 14 -1b = 14 Divide each side by '-1'. b = -14 Simplifying b = -14

Subproblem 2

Set the factor '(6 + -1b)' equal to zero and attempt to solve: Simplifying 6 + -1b = 0 Solving 6 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1b = 0 + -6 -1b = 0 + -6 Combine like terms: 0 + -6 = -6 -1b = -6 Divide each side by '-1'. b = 6 Simplifying b = 6

Solution

b = {-14, 6}

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